Zhong Tan
Email：tan85@xmu.edu.cn 或ztan85@163.com
Education Background:
1982-1986 Bachelor's degree (Jilin University)
1986-1989 Master’s degree (Jilin University)
1989-1992 Ph.D degree (Jilin University)
1996-1998 Post-Doc (Hokkaido University)
1999-2001 Post-Doc (Sun Yat-sen University)
Work Experience:
5. March 2019 - Present: Dean, Shenzhen Research Institute of Xiamen University, Xiamen University
4. January 2017 -August 2021: Director of Science and Technology Department, Xiamen University
3. December 2012 - January 2017: Vice Dean and Director of the Graduate School of Xiamen University
2. April 2004- December 2012: Deputy Secretary of the Party Committee of the School of Mathematical Sciences
1. August 1992 - Present: Associate Professor, Professor, Distinguished Professor, Xiamen University
Visiting Scholar Experience:
21. Visited the Mathematics Department of City University of Hong Kong from January to February 2015.
20. Visiting Professor at the Institute of Mathematics, The Chinese University of Hong Kong from January to March 2014;
19. Visiting Professor at the Institute of Mathematics, The Chinese University of Hong Kong, July 18-September 17, 2012;
18 Visiting Professor at the Institute of Mathematics, The Chinese University of Hong Kong from January 13 to February 12, 2012.
17. Visiting Professor at the Institute of Mathematics, The Chinese University of Hong Kong, May 1-15, 2011;
16. Visiting Professor at the Institute of Mathematics, The Chinese University of Hong Kong from January to March 2010;
15. Visited Peking University in October 2009;
14. Visited the Institute of Mathematical Sciences at the Chinese University of Hong Kong from January to March 2009;
13. Visited the Institute of Mathematical Sciences at the Chinese University of Hong Kong from July to August 2008;
12. Visited the Institute of Mathematical Sciences at the Chinese University of Hong Kong from March to May 2008;
11. Visited the Institute of Mathematical Sciences at the Chinese University of Hong Kong from July to August 2007;
10. Visited the Institute of Mathematical Sciences at the Chinese University of Hong Kong from February to March 2007;
9. Visited the Institute of Mathematical Sciences at the Chinese University of Hong Kong from July to September 2006;
8. Visited the Mathematics Department of City University of Hong Kong from February to March 2006;
7. Visited the Institute of Mathematics at the Chinese University of Hong Kong from January to March 2005;
6. Visited the Mathematics Institute of Fudan University from January to February, April to May, and July to August 2004;
5. Visited the Institute of Mathematical Sciences at the Chinese University of Hong Kong from October to November 2002;
4. Visited the Institute of Mathematical Sciences at the Chinese University of Hong Kong from January to April 2002;
3. Visited the Institute of Mathematical Sciences at the Chinese University of Hong Kong from May to June 2001;
2. From June to September 2000, he visited Morningstar Mathematics Center of the Chinese Academy of Sciences;
1. Visited the Mathematics Institute of Fudan University from July to August 1999;
Research Field:
Partial Differential Equations and Applications
Data Analysis and Mathematical Modeling
Appointments & Affiliations:
2001-Present Professor of Mathematics (Xiamen University)
2010-Present Distinguished professor of Minjiang Scholars (Fujian Province)
2018 Leading Talents in Science and Technology Innovation （Fujian Province）;
Member of Mathematics subject Evaluation Group of Academic Degrees Committee of The State Council
Executive Director of China Society of Industrial and Applied Mathematics;
Member of the Organizing committee of China Undergraduate Mathematical Contest in Modeling;
Member of Mathematical Model Professional Committee of China Society of Industrial and Applied Mathematics.
Teaching Activities:
Partial Differential equations (National First-Class Undergraduate Course)
Mathematical Modeling (National first-class undergraduate courses)
Mathematical Analysis
Calculus of Variations
Game Theory
Partial Differential Equations in Fluid Mechanics
Stochastic Partial Differential Equations and Financial Engineering
Awards & Honors:
12. 2023 Administration of the National Plan for the Special Support for Top-notch Talents
11. 2020 Special Prize for Teaching Achievements (Fujian Province)，Award ranking first
10. Second Prize for National Teaching Achievements in 2018，Ranked third in the award list
9. Special Prize for Teaching Achievements (Fujian Province)，2017，Ranked third in the award list
8. First Prize for Teaching Achievements (Fujian Province)，2014，Award ranking first
7. Received the title of National Excellent Doctoral Thesis Supervisor in 2014.
6. Lu Jiaxi Outstanding Mentor Award in 2014
5. Baogang Excellent Teacher Award in 2010.
4. Fujian Province Teaching Master Award in 2010.
3. Key Talent of Xiamen in 2007.
2. Second Prize for Teaching Achievements in Fujian Province in 2005，Award ranking first
1. In 2003, won the first prize of the 6th Fujian Province Natural Science Excellent Academic Paper Award
Advising & Mentoring:
I am guiding graduate students in two research directions: Partial Differential Equations and Applications
Data Analysis and Mathematical Modeling.
1. In 2007，Chen Shuhong, a doctoral student, won the second prize for excellent doctoral thesis in Fujian Province;
2. In 2008, Huang Tao, a doctoral student, was awarded the title of Outstanding Merit Student in Fujian Province;
3. Jiang Fei, the 2010 doctoral supervisor, won the first prize for excellent doctoral thesis in Fujian Province;
4. In 2010, guided doctoral student Wang Yanjin to win the "Lu Jiaxi Outstanding Graduate Student Award";
5. In 2011, Wang Huaqiao, a doctoral student, was awarded the title of Outstanding Student Leader in Fujian Province;
6. In 2012, Wang Yong, a doctoral student, was awarded the title of "Merit Students" at the provincial level in Fujian Province;
7. In 2012, guided doctoral student Wu Guochun to win the Academic Newcomer Award from the Ministry of Education;
8. In 2011, Wang Yanjin, a doctoral student, was awarded an excellent doctoral thesis by Xiamen University,
9. Wang Yanjin, a doctoral graduate in 2013, won the first prize in Fujian Province's Youbo program,
10. In 2013, guided doctoral student Wang Yanjin to receive the National Excellent Doctoral Dissertation;
11. In 2015, guided doctoral student Wang Yong to win the "Lu Jiaxi Outstanding Graduate Award";
12. In 2016, I guided doctoral student Wu Guochun to receive an excellent doctoral thesis in Fujian Province;
13. In 2017, I guided doctoral student Wang Yong to receive an excellent doctoral thesis in Fujian Province;
14. In 2018, I guided doctoral student Cai Hong to receive an excellent doctoral thesis in Fujian Province;
15. In 2020, I guided doctoral student Zhou Jianfeng to receive an excellent doctoral thesis in Fujian Province.
Selected Grants:
14. Key Program of National Natural Science Foundation of China： Theoretical Researches on Partial Differential Equation Models of MHD Fluids, Project approval number: 12231016, 2.35 million RMB，2023.1-2027.12，Principal Investigator.
13. General Program of National Natural Science Foundation of China: Mathematical Theory Researches of High Dimensional Compressible Fluids, Project approval number: 12071391, 520 thousand RMB，2021.1-2024.12，Principal Investigator.
12. National Natural Science Foundation of China Tianyuan Fund: Advanced Seminar on Transonic Flow and Mixed Partial Differential Equations, Project approval number: 11926316, 200 thousand RMB，2019.7-2019.12，Principal Investigator.
11. Fujian Provincial Development and Reform Commission 2018 Provincial Digital Economy Development Special Project: Xiamen Research Institute of Digital Fujian Big Data Basic Technology, 4 million RMB，2018.12-2021.12，Principal Investigator.
10. National Natural Science Foundation of China Tianyuan Fund: Advanced Seminar on Transonic Flow and Mixed Partial Differential Equations, Project approval number: 11826025, 200 thousand RMB，2018.7-2018.12，Principal Investigator.
9. National Natural Science Foundation of China Tianyuan Fund: Advanced Seminar on Transonic Flow and Mixed Partial Differential Equations, Project approval number: 11726023, 180 thousand RMB，2017.7-2017.12，Principal Investigator.
8. National Natural Science Foundation of China Tianyuan Fund: Advanced Seminar on Transonic Flow and Mixed Partial Differential Equations, Project approval number: 11626018, 150 thousand RMB，2016.7-2016.12，Principal Investigator.
7. Key Project of National Natural Science Foundation of China：Modeling and analysis of free interface formation and motion during gas combustion and explosion process, Project approval number: 11531010，2016.1-2020.12，Principal Investigator.
6. National Natural Science Foundation of China Tianyuan Fund: Advanced Seminar on Transonic Flow and Mixed Partial Differential Equations, Project approval number: 11526025，2015.7-2015.12，Principal Investigator.
5. National Natural Science Foundation of China Tianyuan Fund: Advanced Seminar on Transonic Flow and Mixed Partial Differential Equations, Project approval number: 11426022，2014.7-2014.12，Principal Investigator.
4. General Program of National Natural Science Foundation of China: Mathematical theoretical research on several types of partial differential equations coupled with compressible Euler equations, Project approval number: 11271305，2013.1-2016.12，Principal Investigator.
3. Joint Key Project of National Natural Science Foundation of China: Research on the two-dimensional high-temperature radiation magnetohydrodynamics equation and dynamic system of Z-pinch implosion plasma, Project approval number: 10976026，2010.1-2012.12，Principal Investigator.
2. Key Project of National Natural Science Foundation of China: Some non classical theories and methods of partial differential equations in fluid mechanics, Project approval number: 10531020，2006.01-2009.12，Principal Investigator.
1. National Natural Science Foundation of China General Project，Critical Phenomena and Research Methods of Nonlinear Parabolic Equations，Project approval number: 10171083，2002.01-2004.12，Principal Investigator.
Academic Publications:
1、Monograph：
The new method of regularity theory and its applications—The method of A-harmonic Approximation，LAMBERT Academic Publishing。
2、Two textbooks:
【2】Mathematical Modeling - Problems, Methods, and Case Analysis, Higher Education Press, 978-7-04-049746-5, November 2018
【1】Partial Differential Equations - Phenomena, Modeling, Theory and Applications, Higher Education Press, 978-7-04-052901-2019 December
3、Paper
【238】Tan, Zhong; Li, Xinliang; Yang, Hui Energy conservation for the weak solutions to the 3D compressible nematic liquid crystal flow. Acta Math. Sci. Ser. B (Engl. Ed.) 44 (2024), no. 3, 851–864.
【237】Ding, Dandan; Tan, Zhong Stability of the Couette flow for the two dimensional chemotaxis-Navier-Stokes system. Nonlinear Anal. Real World Appl. 77 (2024), Paper No. 104058, 26 pp.
【236】Liao, Menglan; Tan, Zhong Blow-up and energy decay for a class of wave equations with nonlocal Kirchhoff-type diffusion and weak damping. Math. Methods Appl. Sci. 47 (2024), no. 1, 516–534.
【235】Liao, Jing; Tan, Zhong Global stability of supersonic Euler flows in quasi-one-dimensional convergent nozzles. J. Math. Phys. 65 (2024), no. 1, Paper No. 011501, 11 pp.
【234】Gao, Liu; Tan, Zhong Normalized solutions for two classes of Kirchhoff problems with exponential critical growth. Bull. Malays. Math. Sci. Soc. 47 (2024), no. 1, Paper No. 7, 31 pp.
【233】Tan, Zhong; Xu, Saiguo Rayleigh-Taylor instability of 3D inhomogeneous incompressible Euler equations with damping in a horizontal slab. Nonlinear Anal. Real World Appl. 76 (2024), Paper No. 104013, 21 pp.
【232】Liao, Jing; Tan, Zhong Structural stability and optimal convergence rates of subsonic Euler flows with large vorticity in infinitely long nozzles. J. Math. Anal. Appl. 531 (2024), no. 1, part 1, Paper No. 127766, 20 pp.
【231】Cheng, Min; Tan, Zhong; Fang, Fei Global existence and finite time blow-up of solutions for a class of Dirichlet-to-Neumann operator heat flow equations with critical growth. Commun. Pure Appl. Anal. 22 (2023), no. 12, 3478–3497.
【230】Han, Fangyu; Tan, Zhong Asymptotic stability of explicit infinite energy blowup solutions of the 3D incompressible Navier-Stokes equations. Sci. China Math. 66 (2023), no. 11, 2523–2544.
【229】Ding, Dandan; Tan, Zhong; Wu, Zhonger The global generalized solution of the chemotaxis-Navier-Stokes system with logistic source. Commun. Math. Sci. 21 (2023), no. 6, 1549–1568.
【228】Ai, Chengfei; Tan, Zhong; Zhou, Jianfeng Global existence and decay estimate of solution to rate type viscoelastic fluids. J. Differential Equations 377 (2023), 188–220.
【227】Jia, Cuiman; Tan, Zhong; Zhou, Jianfeng Global well-posedness of compressible magneto-micropolar fluid equations. J. Geom. Anal. 33 (2023), no. 11, Paper No. 358, 34 pp.
【226】Dai, Yichen; Tan, Zhong; Wu, Jiahong A class of global large solutions to the Oldroyd-B-type model with fractional dissipation. Commun. Math. Sci. 21 (2023), no. 5, 1349–1362.
【225】Liao, Jing; Tan, Zhong Transonic shock solutions of the steady Euler flow in quasi-one-dimensional convergent nozzles. J. Differential Equations 372 (2023), 657–671.
【224】Xie, Minghong; Tan, Zhong The global solution and blowup of a spatiotemporal EIT problem with a dynamical boundary condition. Acta Math. Sci. Ser. B (Engl. Ed.) 43 (2023), no. 4, 1881–1914.
【223】Tan, Zhong; Wu, Zhonger Global small solutions of MHD boundary layer equations in Gevrey function space. J. Differential Equations 366 (2023), 444–517.
【222】Deng, Yanhua; Tan, Zhong; Xie, Minghong Nonlinear elliptic-parabolic problem involving p-Dirichlet-to-Neumann operator with critical exponent. Adv. Nonlinear Anal. 12 (2023), no. 1, Paper No. 20220306, 23 pp.
【221】Tan, Zhong; Xu, Saiguo Global regularity for 2D Boussinesq equations with partial viscosity in the half plane. Math. Methods Appl. Sci. 46 (2023), no. 6, 6484–6505.
【220】Gao, Liu; Tan, Zhong Existence results for fractional Kirchhoff problems with magnetic field and supercritical growth. J. Math. Phys. 64 (2023), no. 3, Paper No. 031503, 14 pp.
【219】Chen, Shuhong; Tan, Zhong Optimal partial regularity for very weak solutions to a class of nonlinear elliptic systems. J. Inequal. Appl. 2023, Paper No. 33, 27 pp.
【218】Liao, Menglan; Tan, Zhong Asymptotic stability for a viscoelastic equation with the time-varying delay. Math. Model. Anal. 28 (2023), no. 1, 23–41.
【217】Liao, Menglan; Tan, Zhong Behavior of solutions to a Petrovsky equation with damping and variable-exponent sources. Sci. China Math. 66 (2023), no. 2, 285–302.
【216】Ai, Chengfei; Tan, Zhong Gromov-Hausdorff stability of global attractors for 3D Brinkman-Forchheimer equations. Math. Methods Appl. Sci. 45 (2022), no. 17, 11117–11133.
【215】Li, Xinliang; Tan, Zhong; Xu, Saiguo Global existence and decay estimates of solutions to the MHD-Boussinesq system with stratification effects. Nonlinearity 35 (2022), no. 12, 6067–6097.
【214】Xu, Qiuju; Tan, Zhong; Wang, Huaqiao; Tong, Leilei Global low-energy weak solutions of the compressible magneto-micropolar fluids in the half-space. Z. Angew. Math. Phys. 73 (2022), no. 6, Paper No. 223, 19 pp.
【213】Li, Xinliang; Tan, Zhong Global well-posedness for the 2D micropolar Bénard convection system with mixed partial viscosity. J. Math. Anal. Appl. 516 (2022), no. 1, Paper No. 126495, 32 pp.
【212】Tan, Zhong; Zhou, Jianfeng The MHD equations in the Lorentz space with time dependent external forces. J. Math. Fluid Mech. 24 (2022), no. 3, Paper No. 68, 37 pp.
【211】Tong, Leilei; Tan, Zhong; Zhang, Xu The diffusive limit of the bipolar Vlasov-Poisson-Boltzmann equations. J. Stat. Phys. 188 (2022), no. 1, Paper No. 2, 32 pp.
【210】Tong, Leilei; Tan, Zhong; Zhang, Xu The time decay rates of the classical solution to the Poisson-Nernst-Planck-Fourier equations in R3. Acta Math. Sci. Ser. B (Engl. Ed.) 42 (2022), no. 3, 1081–1102.
【209】Ai, Chengfei; Tan, Zhong Large time decay rates of the two-dimensional magneto-micropolar fluids with zero angular viscosity. Appl. Math. Lett. 132 (2022), Paper No. 108104, 8 pp.
【208】Li, Xinliang; Tan, Zhong Global well-posedness for the 2D micropolar Bénard fluid system with mixed partial dissipation, angular viscosity and without thermal diffusivity. Z. Angew. Math. Phys. 73 (2022), no. 2, Paper No. 83, 12 pp.
【207】Tan, Zhong; Xu, Saiguo The Rayleigh-Taylor instability of incompressible Euler equations in a horizontal slab domain. J. Differential Equations 319 (2022), 100–130.
【206】Tan, Zhong; Zhou, Jianfeng Inertial energy dissipation for weak solution of electrorheological fluids. Nonlinear Anal. Real World Appl. 64 (2022), Paper No. 103458, 23 pp.
【205】Han, Fangyu; Tan, Zhong; Yang, Ganshan Stability of the Walker wall in two dimensions. SIAM J. Math. Anal. 53 (2021), no. 6, 7024–7061.
【204】Tong, Leilei; Tan, Zhong Optimal decay rates of the solution for generalized Poisson-Nernst-Planck-Navier-Stokes equations in R3. Z. Angew. Math. Phys. 72 (2021), no. 6, Paper No. 200, 23 pp.
【203】Xu, Yong-qiang; Chen, Shu-hong; Tan, Zhong Existence and properties of solutions for a class of fractional differential equations. Acta Math. Appl. Sin. Engl. Ser. 37 (2021), no. 3, 477–484.
【202】Ai, Chengfei; Tan, Zhong Global and exponential attractors for a class of non-Newtonian micropolar fluids. Math. Methods Appl. Sci. 44 (2021), no. 13, 10032–10052.
【201】Tan, Zhong; Wu, Zhonger Time periodic strong solutions to the Keller-Segel system coupled to Navier-Stokes equation. J. Differential Equations 298 (2021), 95–131.
【200】He, Lianhua; Tan, Zhong Inverse boundary value problem for the magnetohydrodynamics equations. J. Funct. Spaces 2021, Art. ID 9966687, 10 pp.
【199】Han, Fangyu; Tan, Zhong Existence of global steady subsonic Euler flows with collision through 2D infinitely long nozzles. Math. Methods Appl. Sci. 44 (2021), no. 11, 9453–9474.
【198】Zhou, Jianfeng; Tan, Zhong Regularity of weak solutions to a class of nonlinear problem. Acta Math. Sci. Ser. B (Engl. Ed.) 41 (2021), no. 4, 1333–1365.
【197】Tong, Leilei; Pan, Ronghua; Tan, Zhong Decay estimates of solutions to the compressible micropolar fluids system in R3. J. Differential Equations 293 (2021), 520–552.
【196】Ai, Chengfei; Tan, Zhong Pullback exponential attractors for a class of non-Newtonian micropolar fluids. J. Math. Anal. Appl. 503 (2021), no. 2, Paper No. 125320, 29 pp.
【195】Deng, Yanhua; Tan, Zhong; Xie, Minghong Dynamical boundary problem for Dirichlet-to-Neumann operator with critical Sobolev exponent and Hardy potential. Nonlinear Anal. Real World Appl. 62 (2021), Paper No. 103346, 22 pp.
【194】Tan, Zhong; Wu, Zhonger; Xie, Minghong Solution semiflow to the compressible Euler equations with damping. J. Math. Anal. Appl. 503 (2021), no. 1, Paper No. 125313, 20 pp.
【194】Li, Xinliang; Tan, Zhong Global well-posedness for the 3D damped micropolar Bénard system with zero thermal conductivity. Appl. Math. Lett. 117 (2021), Paper No. 107103, 6 pp.
【193】Tan, Zhong; Xie, Minghong Global solution and global orbit to reaction-diffusion equation for fractional Dirichlet-to-Neumann operator with subcritical exponent. Math. Methods Appl. Sci. 44 (2021), no. 2, 1878–1895.
【192】Wu, Zhonger; Tan, Zhong Regularity and energy conservation for compressible isentropic magnetohydrodynamic equations. Math. Methods Appl. Sci. 44 (2021), no. 1, 533–545.
【191】Xie, Minghong; Tan, Zhong; Wu, Zhonger Local existence and uniqueness of weak solutions to fractional pseudo-parabolic equation with singular potential. Appl. Math. Lett. 114 (2021), Paper No. 106898, 9 pp.
【190】Tan, Zhong; Xie, Minghong Global existence and blowup of solutions to semilinear fractional reaction-diffusion equation with singular potential. J. Math. Anal. Appl. 493 (2021), no. 2, Paper No. 124548, 29 pp.
【189】Tan, Zhong; Wang, Yong; Xu, Jiankai On the integral equation with the axis-symmetric kernel. Commun. Math. Sci. 18 (2020), no. 7, 2059–2074.
Review PDF Clipboard Journal Article
【188】Zheng, Wenxuan; Tan, Zhong The decay estimates for magnetohydrodynamic equations with Coulomb force. Acta Math. Sci. Ser. B (Engl. Ed.) 40 (2020), no. 6, 1928–1940.
【187】 Tan, Zhong; Wang, Yong; Wu, Wenpei Mathematical modeling and qualitative analysis of viscoelastic conductive fluids. Anal. Appl. (Singap.) 18 (2020), no. 6, 1077–1117.
【186】Ai, Chengfei; Tan, Zhong; Zhou, Jianfeng Global well-posedness and existence of uniform attractor for magnetohydrodynamic equations. Math. Methods Appl. Sci. 43 (2020), no. 12, 7045–7069.
【185】Dai, Yichen; Tan, Zhong Partial regularity for stationary Navier-Stokes systems by the method of A-harmonic approximation. Acta Math. Sci. Ser. B (Engl. Ed.) 40 (2020), no. 3, 835–854.
【184】Tan, Zhong; Wu, Wenpei; Zhou, Jianfeng Existence of mild solutions and regularity criteria of weak solutions to the viscoelastic Navier-Stokes equation with damping. Commun. Math. Sci. 18 (2020), no. 1, 205–226.
【183】Chen, Qing; Tan, Zhong; Wu, Guochun; Zou, Weiyuan The initial value problem for the compressible Navier-Stokes equations without heat conductivity. J. Differential Equations 268 (2020), no. 9, 5469–5490.
【182】 Tong, Leilei; Tan, Zhong The asymptotic stability of the solution to the full Hall-MHD system in R3. Bull. Malays. Math. Sci. Soc. 43 (2020), no. 2, 1465–1491.
【181】He, Lianhua; Tan, Zhong Weak-strong uniqueness for the Navier-Stokes-Poisson equations. Appl. Math. Lett. 103 (2020), 106143, 9 pp.
【180】Xu, Qiuju; Tan, Zhong; Wang, Huaqiao Global existence and asymptotic behavior for the 3D compressible magneto-micropolar fluids in a bounded domain. J. Math. Phys. 61 (2020), no. 1, 011506, 14 pp.
【179】Tong, Leilei; Tan, Zhong; Xu, Qiuju Decay estimates of solutions to the bipolar compressible Euler-Poisson system in R3. Z. Angew. Math. Phys. 71 (2020), no. 1, Paper No. 19, 17 pp.
【178】Wu, Guochun; Tan, Zhong; Zou, Weiyuan The initial value problem for the compressible magnetohydrodynamic equations without heat conductivity. J. Math. Anal. Appl. 484 (2020), no. 2, 123708, 23 pp.
【177】Gao, Zhensheng; Liang, Yan; Tan, Zhong A global existence result for Korteweg system in the critical Lp framework. Acta Math. Sci. Ser. B (Engl. Ed.) 39 (2019), no. 6, 1639–1660.
【176】Wu, Guochun; Tan, Zhong; Xu, Jiankai On the heat flow of equation of H-surface. Acta Math. Sci. Ser. B (Engl. Ed.) 39 (2019), no. 5, 1397–1405.
【175】Guo, Shanshan; Tan, Zhong On integrability up to the boundary of the weak solutions to a non-Newtonian fluid. Acta Math. Sci. Ser. B (Engl. Ed.) 39 (2019), no. 2, 420–428.
【174】Xu, Jiankai; Tan, Zhong; Wang, Weiwei; Xiong, Zepeng A necessary condition for certain integral equations with negative exponents. Acta Math. Sci. Ser. B (Engl. Ed.) 39 (2019), no. 1, 284–296.
【173】He, Lianhua; Tan, Zhong Partial regularity of stationary Navier-Stokes systems under natural growth condition. Acta Math. Sci. Ser. B (Engl. Ed.) 39 (2019), no. 1, 94–110.
【172】Tong, Leilei; Tan, Zhong Optimal decay rates of the compressible magneto-micropolar fluids system in R3. Commun. Math. Sci. 17 (2019), no. 4, 1109–1134.
【171】Dai, Yichen; Tan, Zhong; Wu, Jiahong A class of global large solutions to the magnetohydrodynamic equations with fractional dissipation. Z. Angew. Math. Phys. 70 (2019), no. 5, Paper No. 153, 13 pp.
【170】Xu, Qiuju; Tan, Zhong On weak solution to the steady compressible flow of nematic liquid crystals. Math. Methods Appl. Sci. 42 (2019), no. 9, 3054–3068.
【169】Tan, Zhong; Wu, Wenpei; Zhou, Jianfeng Global existence and decay estimate of solutions to magneto-micropolar fluid equations. J. Differential Equations 266 (2019), no. 7, 4137–4169.
【168】Tan, Zhong; Zhou, Jianfeng Global existence and time decay estimate of solutions to the Keller-Segel system. Math. Methods Appl. Sci. 42 (2019), no. 1, 375–402.
【167】Tan, Zhong; Wang, Huaqiao; Wang, Yucong Time-splitting methods to solve the Hall-MHD systems with Lévy noises. Kinet. Relat. Models 12 (2019), no. 1, 243–267.
【166】Tan, Zhong; Wang, Yanzhen; Chen, Shuhong Partial regularity up to the boundary for solutions of subquadratic elliptic systems. Adv. Nonlinear Anal. 7 (2018), no. 4, 469–483.
【165】Tan, Zhong; Zhou, Jianfeng; Zheng, Wenxuan Hölder continuity of weak solution to a nonlinear problem with non-standard growth conditions. Bound. Value Probl. 2018, Paper No. 131, 23 pp.
【164】Jia, Cuiman; Tan, Zhong Regularity for the weak solutions to certain parabolic systems under certain growth condition. J. Math. Anal. Appl. 468 (2018), no. 1, 324–343.
【163】Reviewed Cai, Hong; Tan, Zhong Lipschitz metric for conservative solutions of the modified two-component Camassa-Holm system. Z. Angew. Math. Phys. 69 (2018), no. 4, Paper No. 98, 30 pp.
【162】 Tan, Zhong; Zhou, Jianfeng Decay estimate of solutions to the coupled chemotaxis-fluid equations in R3. Nonlinear Anal. Real World Appl. 43 (2018), 323–347.
【161】Tan, Zhong; Tong, Leilei Asymptotic stability of stationary solutions for Hall magnetohydrodynamic equations. Z. Angew. Math. Phys. 69 (2018), no. 3, Paper No. 51, 28 pp.
【160】Wu, Guochun; Tan, Zhong Global low-energy weak solution and large-time behavior for the compressible flow of liquid crystals. J. Differential Equations 264 (2018), no. 11, 6603–6632.
【159】Fang, Fei; Tan, Zhong Heat flow for Dirichlet-to-Neumann operator with critical growth. Adv. Math. 328 (2018), 217–247.
【158】Tan, Zhong; Wang, Yanjin Global well-posedness of an initial-boundary value problem for viscous non-resistive MHD systems. SIAM J. Math. Anal. 50 (2018), no. 1, 1432–1470.
【157】Cai, Hong; Tan, Zhong Uniqueness of conservative solutions to the modified two-component Camassa-Holm system via characteristics. J. Math. Anal. Appl. 461 (2018), no. 2, 1067–1083.
【156】Tan, Zhong; Wu, Wenpei; Zhou, Jianfeng Existence and uniqueness of mild solutions to the magneto-hydro-dynamic equations. Appl. Math. Lett. 77 (2018), 27–34.
【155】Tan, Zhong; Tong, Leilei Asymptotic behavior of the compressible non-isentropic Navier-Stokes-Maxwell system in R3. Kinet. Relat. Models 11 (2018), no. 1, 191–213.
【154】Xu, Jiankai; Wu, Huoxiong; Tan, Zhong Integrability and asymptotic behaviors of positive solutions for some integral equations. Commun. Math. Sci. 15 (2017), no. 8, 2099–2120.
【153】Wu, Yunshun; Tan, Zhong; Wang, Yong Long-time behavior of solutions to the non-isentropic Euler-Poisson system in R3. Commun. Math. Sci. 15 (2017), no. 7, 1947–1965.
【152】Gao, Zhensheng; Tan, Zhong Blow-up criterion of classical solutions for the incompressible nematic liquid crystal flows. Acta Math. Sci. Ser. B (Engl. Ed.) 37 (2017), no. 6, 1632–1638.
【151】Tan, Zhong; Wang, Yong; Tong, Leilei Decay estimates of solutions to the bipolar non-isentropic compressible Euler-Maxwell system. Nonlinearity 30 (2017), no. 10, 3743–3772.
【150】Cai, Hong; Tan, Zhong Asymptotic stability of stationary solutions to the compressible bipolar Navier-Stokes-Poisson equations. Math. Methods Appl. Sci. 40 (2017), no. 12, 4493–4513.
【149】Tan, Zhong; Zhou, Jianfeng Partial regularity of a certain class of non-Newtonian fluids. J. Math. Anal. Appl. 455 (2017), no. 2, 1529–1558.
【148】Cai, Hong; Tan, Zhong Stability of stationary solutions to the compressible bipolar Euler-Poisson equations. Discrete Contin. Dyn. Syst. 37 (2017), no. 9, 4677–4696.
【147】Tan, Zhong; Wang, Yanzhen Partial regularity for subquadratic homogeneity elliptic system with VMO-coefficients. J. Math. Anal. Appl. 454 (2017), no. 2, 617–638.
【146】Tan, Zhong; Wang, Yong; Tong, Leilei The asymptotic behavior of globally smooth solutions to the compressible magnetohydrodynamic equations with Coulomb force. Anal. Appl. (Singap.) 15 (2017), no. 4, 571–594.
【145】Fang, Fei ; Tan, Zhong . Existence of three solutions for quasilinear elliptic equations: an Orlicz-Sobolev space setting. Acta Math. Appl. Sin. Engl. Ser. 33 (2017), no. 2, 287--296.
【144】Guo, Shanshan ; Tan, Zhong . Large-time behaviour of solutions to a class of non-Newtonian compressible fluids. NoDEA Nonlinear Differential Equations Appl. 24 (2017), no. 3, Paper No. 23, 18 pp.
【143】Wu, Guochun ; Gao, Zhensheng ; Tan, Zhong . Time decay rates for the compressible viscoelastic flows. J. Math. Anal. Appl. 452 (2017), no. 2, 990--1004.
【142】Tan, Zhong ; Tong, Leilei . Asymptotic stability of stationary solutions for magnetohydrodynamic equations. Discrete Contin. Dyn. Syst. 37 (2017), no. 6, 3435--3465.
【141】Cai, Hong ; Tan, Zhong . Time periodic solutions to the compressible Navier-Stokes-Poisson system with damping. Commun. Math. Sci. 15 (2017), no. 3, 789--812.
【140】Tan, Zhong ; Wang, Yanzhen ; Chen, Shuhong . Partial regularity in the interior for discontinuous inhomogeneous elliptic system with VMO-coefficients. Ann. Mat. Pura Appl. (4) 196 (2017), no. 1, 85--105.
【139】Xu, Qiuju ; Belmonte, Andrew ; deForest, Russ ; Liu, Chun ; Tan, Zhong . Strong solutions and instability for the fitness gradient system in evolutionary games between two populations. J. Differential Equations 262 (2017), no. 7, 4021--4051.
【138】Wu, Guochun ; Chen, Qing ; Tan, Zhong . On the outer pressure problem of the one-dimensional compressible Navier-Stokes equation with degenerate transport coefficients. J. Math. Anal. Appl. 449 (2017), no. 1, 553--571.
【137】Tan, Zhong ; Xu, Qiuju . Weak solution to the steady compressible flow of nematic liquid crystals. J. Math. Anal. Appl. 448 (2017), no. 2, 1343--1368.
【136】Cai, Hong ; Chen, Geng ; Shen, Yannan ; Tan, Zhong . Generic regularity and Lipschitz metric for the Hunter-Saxton type equations. J. Differential Equations 262 (2017), no. 2, 1023--1063.
【135】Wang, Yong ; Liu, Chun ; Tan, Zhong . Well-posedness on a new hydrodynamic model of the fluid with the dilute charged particles. J. Differential Equations 262 (2017), no. 1, 68--115.
【134】Guo, Shanshan ; Tan, Zhong . Local 4/5-law and energy dissipation anomaly in turbulence of incompressible MHD equations. Z. Angew. Math. Phys. 67 (2016), no. 6, Art. 147, 12 pp.
【133】Zhao, Ling ; Tan, Zhong . Regularity of weak solutions of compressible isentropic self-gravitating fluid. Nonlinear Anal. 147 (2016), 274--290.
【132】Wang, Yong ; Liu, Chun ; Tan, Zhong . A generalized Poisson-Nernst-Planck-Navier-Stokes model on the fluid with the crowded charged particles: derivation and its well-posedness. SIAM J. Math. Anal. 48 (2016), no. 5, 3191--3235.
【131】Tan, Zhong ; Xu, Qiuju ; Wang, Huaqiao . Time periodic solution to the compressible Euler equations with damping in a periodic domain. Nonlinearity 29 (2016), no. 7, 2024--2049.
【130】Cai, Hong ; Tan, Zhong . Existence and stability of stationary solutions to the compressible Navier-Stokes-Poisson equations. Nonlinear Anal. Real World Appl. 32 (2016), 260--293.
【129】Tan, Zhong ; Tong, Leilei . Decay estimates of solutions to the compressible Navier-Stokes-Maxwell system in R3. Commun. Math. Sci. 14 (2016), no. 5, 1189--1212.
【128】Tan, Zhong ; Zhou, Jianfeng . Higher integrability of weak solution of a nonlinear problem arising in the electrorheological fluids. Commun. Pure Appl. Anal. 15 (2016), no. 4, 1335--1350.
【127】Tan, Zhong ; Tong, Leilei . Global existence and large time behavior of the asymmetric fluids. Z. Angew. Math. Phys. 67 (2016), no. 3, Art. 44, 17 pp.
【126】Dai, Yichen ; Tan, Zhong ; Chen, Shuhong . Partial regularity for subquadratic parabolic systems under controllable growth conditions. J. Math. Anal. Appl. 439 (2016), no. 2, 481--513.
【125】Tan, Zhong ; Xu, Qiuju . Time periodic solutions to the 3D compressible fluid models of Korteweg type. Commun. Math. Sci. 14 (2016), no. 3, 705--733.
【124】Cai, Hong ; Tan, Zhong . Weak time-periodic solutions to the compressible Navier-Stokes equations. Acta Math. Sci. Ser. B (Engl. Ed.) 36 (2016), no. 2, 499--513.
【123】Tan, Zhong ; Wang, Yong ; Xu, Fanhui . Large-time behavior of the full compressible Euler-Poisson system without the temperature damping. Discrete Contin. Dyn. Syst. 36 (2016), no. 3, 1583--1601.
【122】Tan, Zhong ; Wang, Yanjin . On hyperbolic-dissipative systems of composite type. J. Differential Equations 260 (2016), no. 2, 1091--1125.
【121】Cai, Hong ; Tan, Zhong . Time periodic solutions to the three-dimensional equations of compressible magnetohydrodynamic flows. Discrete Contin. Dyn. Syst. 36 (2016), no. 4, 1847--1868.
【120】Cai, Hong ; Tan, Zhong ; Xu, Qiuju . Time periodic solutions to Navier-Stokes-Korteweg system with friction. Discrete Contin. Dyn. Syst. 36 (2016), no. 2, 611--629.
【119】Tan, Zhong ; Wang, Yong . Asymptotic behavior of solutions to the compressible bipolar Euler-Maxwell system in R3. Commun. Math. Sci. 13 (2015), no. 7, 1683--1710.
【118】Tan, Zhong ; Xu, Qiuju ; Wang, Huaqiao . Global existence and convergence rates for the compressible magnetohydrodynamic equations without heat conductivity. Discrete Contin. Dyn. Syst. 35 (2015), no. 10, 5083--5105.
【117】Guo, Shanshan ; Tan, Zhong . Energy dissipation for weak solutions of incompressible liquid crystal flows. Kinet. Relat. Models 8 (2015), no. 4, 691--706.
【116】Chen, Qing ; Tan, Zhong ; Wu, Guochun . Time decay rates for the equations of the compressible heat-conductive flow through porous media. J. Differential Equations 259 (2015), no. 9, 4707--4731.
【115】Cai, Hong ; Tan, Zhong . Weak time-periodic solutions to the compressible Navier-Stokes-Poisson equations. Commun. Math. Sci. 13 (2015), no. 6, 1515--1540.
【114】Wu, Yunshun ; Tan, Zhong . Asymptotic behavior of the Stokes approximation equations for compressible flows in R3. Acta Math. Sci. Ser. B (Engl. Ed.) 35 (2015), no. 3, 746--760.
【113】Tan, Zhong ; Tong, Leilei ; Wang, Yong . Large time behavior of the compressible magnetohydrodynamic equations with Coulomb force. J. Math. Anal. Appl. 427 (2015), no. 2, 600--617.
【112】Xu, Jiankai ; Wu, Huoxiong ; Tan, Zhong . Radial symmetry and asymptotic behaviors of positive solutions for certain nonlinear integral equations. J. Math. Anal. Appl. 427 (2015), no. 1, 307--319.
【111】Cai, Hong ; Tan, Zhong . Periodic solutions to the compressible magnetohydrodynamic equations in a periodic domain. J. Math. Anal. Appl. 426 (2015), no. 1, 172--193.
【110】Tan, Zhong ; Wang, Yanjin ; Wang, Yong . Stability of steady states of the Navier-Stokes-Poisson equations with non-flat doping profile. SIAM J. Math. Anal. 47 (2015), no. 1, 179--209.
【109】Cai, Hong ; Tan, Zhong ; Xu, Qiuju . Time periodic solutions of the non-isentropic compressible fluid models of Korteweg type. Kinet. Relat. Models 8 (2015), no. 1, 29--51.
【108】Xu, Qiuju ; Cai, Hong ; Tan, Zhong . Time periodic solutions of non-isentropic compressible magnetohydrodynamic system. Acta Math. Sci. Ser. B (Engl. Ed.) 35 (2015), no. 1, 216--234.
【107】Zhang, Xu ; Tan, Zhong . The global wellposedness of the 3D heat-conducting viscous incompressible fluids with bounded density. Nonlinear Anal. Real World Appl. 22 (2015), 129--147.
【106】Wang, Yong ; Tan, Zhong . Stability of steady states of the compressible Euler-Poisson system in R3.
J. Math. Anal. Appl. 422 (2015), no. 2, 1058--1071.
【105】Chen, Qing ; Tan, Zhong . Time decay of solutions to the compressible Euler equations with damping. Kinet. Relat. Models 7 (2014), no. 4, 605--619.
【104】Chen, Shuhong ; Tan, Zhong . Solution theory of Ginzburg-Landau theory on BCS-BEC crossover. Adv. Math. Phys. 2014, Art. ID 215672, 11 pp.
【103】Tan, Zhong ; Wang, Yanjin ; Wang, Yong . Decay estimates of solutions to the compressible Euler-Maxwell system in R3. J. Differential Equations 257 (2014), no. 8, 2846--2873.
【102】Zhang, Xu ; Tan, Zhong . Decay estimates of the non-isentropic compressible fluid models of Korteweg type in R3. Commun. Math. Sci. 12 (2014), no. 8, 1437--1456.
【101】Chen, Qing ; Tan, Zhong ; Wu, Guochun . LPS's criterion for incompressible nematic liquid crystal flows. Acta Math. Sci. Ser. B (Engl. Ed.) 34 (2014), no. 4, 1072--1080.
【100】Tan, Zhong ; Wang, Yanjin . Zero surface tension limit of viscous surface waves. Comm. Math. Phys. 328 (2014), no. 2, 733--807.
【99】Fan, Jishan ; Li, Fucai ; Nakamura, Gen ; Tan, Zhong . Regularity criteria for the three-dimensional magnetohydrodynamic equations. J. Differential Equations 256 (2014), no. 8, 2858--2875.
【98】Tan, Zhong ; Zhang, Rongfang . Optimal decay rates of the compressible fluid models of Korteweg type. Z. Angew. Math. Phys. 65 (2014), no. 2, 279--300.
【97】Chen, Shuhong ; Tan, Zhong . Optimal partial regularity of second order parabolic systems under controllable growth condition. J. Funct. Anal. 266 (2014), no. 8, 4908--4937.
【96】Xu, Jiankai ; Wu, Huoxiong ; Tan, Zhong . The non-existence results for a class of integral equation. J. Differential Equations 256 (2014), no. 5, 1873—1902.
【95】Gao, Zhensheng ; Tan, Zhong ; Wu, Guochun . Global existence and convergence rates of smooth solutions for the 3-D compressible magnetohydrodynamic equations without heat conductivity. Acta Math. Sci. Ser. B (Engl. Ed.) 34 (2014), no. 1, 93--106.
【94】Tan, Zhong ; Zhang, Xu ; Wang, Huaqiao . Asymptotic behavior of Navier-Stokes-Korteweg with friction in R3.
Discrete Contin. Dyn. Syst. 34 (2014), no. 5, 2243--2259.
【93】Tan, Zhong ; Wang, Yong . Large-time behavior of solutions to the compressible non-isentropic Euler-Maxwell system in R3. Nonlinear Anal. Real World Appl. 15 (2014), 187--204.
【92】Tan, Zhong ; Zhang, Xu . Decay estimates of the coupled chemotaxis-fluid equations in R3.
J. Math. Anal. Appl. 410 (2014), no. 1, 27--38.
【91】Zhang, Yinghui; Pan, Ronghua; Wang, Yi; Tan, Zhong Zero dissipation limit with two interacting shocks of the 1D non-isentropic Navier-Stokes equations. Indiana Univ. Math. J. 62 (2013), no. 1, 249–309.
【90】Zhang, YingHui; Pan, RongHua; Tan, Zhong Zero dissipation limit to a Riemann solution consisting of two shock waves for the 1D compressible isentropic Navier-Stokes equations. Sci. China Math. 56 (2013), no. 11, 2205–2232.
【89】Tan, Zhong; Fang, Fei Variable exponent Sobolev spaces for semilinear elliptic systems. Mediterr. J. Math. 10 (2013), no. 3, 1353–1367.
【88】Wu, Guochun; Tan, Zhong; Huang, Jun Global existence and large time behavior for the system of compressible adiabatic flow through porous media in R3. J. Differential Equations 255 (2013), no. 5, 865–880.
【87】Tan, Zhong; Fang, Fei Nontrivial solutions for N-Laplacian equations with sub-exponential growth. Anal. Appl. (Singap.) 11 (2013), no. 3, 1350005, 12 pp.
【86】Gao, Zhensheng; Tan, Zhong; Wu, Guochun Energy dissipation for weak solutions of incompressible MHD equations. Acta Math. Sci. Ser. B (Engl. Ed.) 33 (2013), no. 3, 865–871.
【85】Tan, Zhong; Yang, Tong; Zhao, Huijiang; Zou, Qingyang Global solutions to the one-dimensional compressible Navier-Stokes-Poisson equations with large data. SIAM J. Math. Anal. 45 (2013), no. 2, 547–571.
【84】Fang, Fei; Tan, Zhong Nontrivial solutions for semilinear Dirichlet forms via Morse theory. Acta Math. Sci. Ser. B (Engl. Ed.) 33 (2013), no. 2, 404–412.
【83】Tan, Zhong; Fang, Fei Orlicz-Sobolev versus Hölder local minimizer and multiplicity results for quasilinear elliptic equations. J. Math. Anal. Appl. 402 (2013), no. 1, 348–370.
【82】Chen, Shuhong; Tan, Zhong Optimal partial regularity results for nonlinear elliptic systems in Carnot groups. Discrete Contin. Dyn. Syst. 33 (2013), no. 8, 3391–3405.
【81】Tan, Zhong; Zhang, Xu Decay of the non-isentropic Navier-Stokes-Poisson equations. J. Math. Anal. Appl. 400 (2013), no. 1, 293–303.
【80】Tan, Zhong; Wang, Yong Global solution and large-time behavior of the 3D compressible Euler equations with damping. J. Differential Equations 254 (2013), no. 4, 1686–1704.
【79】Tan, Zhong; Wang, Huaqiao Time periodic solutions of the compressible magnetohydrodynamic equations. Nonlinear Anal. 76 (2013), 153–164.
【78】Zhang, Yinghui; Tan, Zhong; Sun, Ming-Bao Global existence and asymptotic behavior of smooth solutions to a coupled hyperbolic-parabolic system. Nonlinear Anal. Real World Appl. 14 (2013), no. 1, 465–482.
【77】Tan, Zhong; Wang, Huaqiao Optimal decay rates of the compressible magnetohydrodynamic equations. Nonlinear Anal. Real World Appl. 14 (2013), no. 1, 188–201.
【76】Chen, Shuhong; Tan, Zhong Boundary regularity for elliptic systems with supquadratic growth condition. J. Inequal. Appl. 2012, 2012:220, 13 pp.
【75】Chen, Qing; Tan, Zhong Global existence in critical spaces for the compressible magnetohydrodynamic equations. Kinet. Relat. Models 5 (2012), no. 4, 743–767.
【74】Abdallah, Mohamed Ahmed; Jiang, Fei; Tan, Zhong Decay estimates for isentropic compressible magnetohydrodynamic equations in bounded domain. Acta Math. Sci. Ser. B (Engl. Ed.) 32 (2012), no. 6, 2211–2220.
【73】Tan, Zhong; Xu, Yongqiang Existence and nonexistence of global solutions for a semi-linear heat equation with fractional Laplacian. Acta Math. Sci. Ser. B (Engl. Ed.) 32 (2012), no. 6, 2203–2210.
【72】Tan, Zhong; Wang, Yong; Zhang, Xu Large time behavior of solutions to the non-isentropic compressible Navier-Stokes-Poisson system in R3. Kinet. Relat. Models 5 (2012), no. 3, 615–638.
【71】Tan, Zhong; Wu, Guochun; Guo, Boling The initial value problem for the equation of motion of irrotational inviscid and heat conductive fluids. J. Differential Equations 253 (2012), no. 11, 3016–3028.
【70】Tan, Zhong; Wang, Yong Large time behavior of solutions to the isentropic compressible fluid models of Korteweg type in R3. Commun. Math. Sci. 10 (2012), no. 4, 1207–1223.
【69】Gao, Zhensheng; Tan, Zhong A global existence result for the compressible Navier-Stokes-Poisson equations in three and higher dimensions. Ann. Polon. Math. 105 (2012), no. 2, 179–198.
【68】Chen, Shuhong; Tan, Zhong Boundary regularity result for quasilinear elliptic systems. J. Inequal. Appl. 2012, 2012:102, 11 pp.
【67】Tan, Zhong; Wang, Huaqiao Global existence and optimal decay rate for the strong solutions in H2 to the 3-D compressible Navier-Stokes equations without heat conductivity. J. Math. Anal. Appl. 394 (2012), no. 2, 571–580.
【66】Tan, Zhong; Fang, Fei On superlinear p(x)-Laplacian problems without Ambrosetti and Rabinowitz condition. Nonlinear Anal. 75 (2012), no. 9, 3902–3915.
【65】Jiang, Fei; Tan, Zhong Blow-up of viscous compressible reactive self-gravitating gas. Acta Math. Appl. Sin. Engl. Ser. 28 (2012), no. 2, 401–408.
【64】 Tan, Zhong; Wang, Huaqiao; Xu, Jiankai Global existence and optimal L2 decay rate for the strong solutions to the compressible fluid models of Korteweg type. J. Math. Anal. Appl. 390 (2012), no. 1, 181–187.
【63】Fang, Fei; Tan, Zhong Existence and multiplicity of solutions for a class of quasilinear elliptic equations: an Orlicz-Sobolev space setting. J. Math. Anal. Appl. 389 (2012), no. 1, 420–428.
【62】Tan, Zhong; Wu, Guochun Large time behavior of solutions for compressible Euler equations with damping in R3. J. Differential Equations 252 (2012), no. 2, 1546–1561.
【61】Tan, Zhong; Wu, Guochun Global existence for the non-isentropic compressible Navier-Stokes-Poisson system in three and higher dimensions. Nonlinear Anal. Real World Appl. 13 (2012), no. 2, 650–664.
【60】Chen, Shuhong; Tan, Zhong Optimal partial regularity for nonlinear sub-elliptic systems. J. Math. Anal. Appl. 387 (2012), no. 1, 166–180.
【59】Tan, Zhong; Wu, Guochun On the heat flow equation of surfaces of constant mean curvature in higher dimensions. Acta Math. Sci. Ser. B (Engl. Ed.) 31 (2011), no. 5, 1741–1748.
【58】Zhang, Ying-hui; Tan, Zhong Asymptotic behaviour of solutions to the Navier-Stokes equations of a two-dimensional compressible flow. Acta Math. Appl. Sin. Engl. Ser. 27 (2011), no. 4, 697–712.
【57】Xu, Jiankai; Tan, Zhong Global existence of the finite energy weak solutions to a nematic liquid crystals model. Math. Methods Appl. Sci. 34 (2011), no. 8, 929–938.
【56】Tan, Zhong; Guo, Rongcong Global existence of weak solutions for the Navier-Stokes equations with capillarity on the half-line. NoDEA Nonlinear Differential Equations Appl. 18 (2011), no. 4, 459–481.
【55】Wang, Yanjin; Tan, Zhong Global existence and optimal decay rate for the strong solutions in H2 to the compressible Navier-Stokes equations. Appl. Math. Lett. 24 (2011), no. 11, 1778–1784.
【54】Zhang, Yinghui; Tan, Zhong; Sun, Ming-Bao Zero relaxation limit to centered rarefaction waves for Jin-Xin relaxation system. Nonlinear Anal. 74 (2011), no. 6, 2249–2261.
【53】Chen, Qing; Tan, Zhong; Wang, Yanjin Strong solutions to the incompressible magnetohydrodynamic equations. Math. Methods Appl. Sci. 34 (2011), no. 1, 94–107.
【52】Jiang, Fei; Tan, Zhong; Wang, Huaqiao A note on global existence of weak solutions to the compressible magnetohydrodynamic equations with Coulomb force. J. Math. Anal. Appl. 379 (2011), no. 1, 316–324.
【51】Wang, Yanjin; Tan, Zhong Optimal decay rates for the compressible fluid models of Korteweg type. J. Math. Anal. Appl. 379 (2011), no. 1, 256–271.
【50】Huang, Tao; Tan, Zhong; Wang, Changyou On the heat flow of equation of surfaces of constant mean curvatures. Manuscripta Math. 134 (2011), no. 1-2, 259–271.
【49】Qiu, Yalin; Tan, Zhong Optimal interior partial regularity for nonlinear elliptic systems with Dini continuous coefficients. Acta Math. Sci. Ser. B (Engl. Ed.) 30 (2010), no. 5, 1541–1554.
【48】Tan, Zhong; Zhang, Yinghui Strong solutions of the coupled Navier-Stokes-Poisson equations for isentropic compressible fluids. Acta Math. Sci. Ser. B (Engl. Ed.) 30 (2010), no. 4, 1280–1290.
【47】Wang, Yanjin; Tan, Zhong Global existence and asymptotic analysis of weak solutions to the equations of ferrohydrodynamics. Nonlinear Anal. Real World Appl. 11 (2010), no. 5, 4254–4268.
【46】Tan, Zhong; Wang, Yanjin Strong solutions for the incompressible fluid models of Korteweg type. Acta Math. Sci. Ser. B (Engl. Ed.) 30 (2010), no. 3, 799–809.
【45】Tan, Zhong; Zhang, Ying Hui Shape optimization in two-dimensional viscous compressible fluids. Acta Math. Sin. (Engl. Ser.) 26 (2010), no. 9, 1793–1806.
【44】Chen, Shuhong; Tan, Zhong Optimal interior partial regularity for nonlinear elliptic systems for the case 1<m<2 under natural growth condition. J. Inequal. Appl. 2010, Art. ID 680714, 23 pp.
【43】Chen, Qing; Tan, Zhong Global existence and convergence rates of smooth solutions for the compressible magnetohydrodynamic equations. Nonlinear Anal. 72 (2010), no. 12, 4438–4451.
【42】Tan, Zhong; Wang, Yanjin Blow-up of smooth solutions to the Navier-Stokes equations of compressible viscous heat-conducting fluids. J. Aust. Math. Soc. 88 (2010), no. 2, 239–246.
【41】Chen, Shuhong; Tan, Zhong Optimal interior partial regularity for nonlinear elliptic systems. Discrete Contin. Dyn. Syst. 27 (2010), no. 3, 981–983.
【40】Jiang, Fei; Tan, Zhong On radially symmetric solutions of the compressible isentropic self-gravitating fluid. Nonlinear Anal. 72 (2010), no. 7-8, 3463–3483.
【39】Zhang, Yinghui; Tan, Zhong Existence and asymptotic behavior of global smooth solution for p-system with damping and boundary effect. Nonlinear Anal. 72 (2010), no. 5, 2499–2513.
【38】Tan, Zhong; Wang, Yanjin Global analysis for strong solutions to the equations of a ferrofluid flow model. J. Math. Anal. Appl. 364 (2010), no. 2, 424–436.
【37】Jiang, Fei; Tan, Zhong On the domain dependence of solutions to the Navier-Stokes equations of a two-dimensional compressible flow. Math. Methods Appl. Sci. 32 (2009), no. 18, 2350–2367.
【36】Yin, Jun Ping; Tan, Zhong Local strong solutions of Navier-Stokes-Poisson equations for isentropic compressible fluids. (Chinese) Acta Math. Sci. Ser. A (Chinese Ed.) 29 (2009), no. 4, 985–1000.
【35】Jiang, Fei; Tan, Zhong Global weak solution to the flow of liquid crystals system. Math. Methods Appl. Sci. 32 (2009), no. 17, 2243–2266.
【34】Yin, Jun Ping; Tan, Zhong Global existence of the radially symmetric strong solution to Navier-Stokes-Poisson equations for isentropic compressible fluids. Acta Math. Sin. (Engl. Ser.) 25 (2009), no. 10, 1703–1720.
【33】Tan, Zhong; Wang, Yanjin Global existence and large-time behavior of weak solutions to the compressible magnetohydrodynamic equations with Coulomb force. Nonlinear Anal. 71 (2009), no. 11, 5866–5884.
【32】Yin, Junping; Tan, Zhong Local existence of the strong solutions for the full Navier-Stokes-Poisson equations. Nonlinear Anal. 71 (2009), no. 7-8, 2397–2415.
【31】Jiang, Fei; Tan, Zhong; Yan, Qiaolian Asymptotic compactness of global trajectories generated by the Navier-Stokes-Poisson equations of a compressible fluid. NoDEA Nonlinear Differential Equations Appl. 16 (2009), no. 3, 355–380.
【30】Huang, Tao; Tan, Zhong Heat flow of higher-dimensional H-systems with small initial data. (Chinese) Acta Math. Sinica (Chinese Ser.) 52 (2009), no. 1, 91–104.
【29】Jiang, Fei; Tan, Zhong Complete bounded trajectories and attractors for compressible barotropic self-gravitating fluid. J. Math. Anal. Appl. 351 (2009), no. 1, 408–427.
【28】Chen, Shu Hong; Tan, Zhong The method of A-harmonic approximation and boundary regularity for nonlinear elliptic systems under the natural growth condition. Acta Math. Sin. (Engl. Ser.) 25 (2009), no. 1, 133–156.
【27】Chen, Shuhong; Tan, Zhong Partial regularity for weak solutions of stationary Navier-Stokes systems. Acta Math. Sci. Ser. B (Engl. Ed.) 28 (2008), no. 4, 877–894.
【26】Tan, Zhong; Wang, Yanjin Propagation of density-oscillations in solutions to the compressible Navier-Stokes-Poisson system. Chinese Ann. Math. Ser. B 29 (2008), no. 5, 501–520.
【25】Yin, Junping; Tan, Zhong Global existence of strong solutions of Navier-Stokes-Poisson equations for one-dimensional isentropic compressible fluids. Chinese Ann. Math. Ser. B 29 (2008), no. 4, 441–458.
【24】Huang, Tao; Tan, Zhong Energy identity of the heat flow of H-systems at finite singular time. Sci. China Ser. A 50 (2007), no. 11, 1571–1582.
【23】Chen, Shuhong; Tan, Zhong The method of A-harmonic approximation and optimal interior partial regularity for nonlinear elliptic systems under the controllable growth condition. J. Math. Anal. Appl. 335 (2007), no. 1, 20–42.
【22】Chen, Shuhong; Tan, Zhong Optimal interior partial regularity for nonlinear elliptic systems under the natural growth condition: the method of A-harmonic approximation. Acta Math. Sci. Ser. B (Engl. Ed.) 27 (2007), no. 3, 491–508.
【21】Chen, Shu-hong; Tan, Zhong The method of p-harmonic approximation and optimal interior partial regularity for energy minimizing p-harmonic maps under the controllable growth condition. Sci. China Ser. A 50 (2007), no. 1, 105–115.
【20】Zhang, Yinghui; Tan, Zhong On the existence of solutions to the Navier-Stokes-Poisson equations of a two-dimensional compressible flow. Math. Methods Appl. Sci. 30 (2007), no. 3, 305–329.
【19】Chen, Zhan; Tan, Zhong Continuous dependence on the initial-time geometry for a parabolic equation from dynamo theory with different prescribed data. Northeast. Math. J. 21 (2005), no. 1, 105–116.
【18】Tan, Zhong; Yao, Zheng-an The existence and asymptotic behavior of the evolution p-Laplacian equations with strongly nonlinear sources. Commun. Pure Appl. Anal. 3 (2004), no. 3, 475–490.
【17】Tan, Zhong; Liu, Xian Gao Non-Newton filtration equation with nonconstant medium void and critical Sobolev exponent. Acta Math. Sin. (Engl. Ser.) 20 (2004), no. 2, 367–378.
【16】Tan, Zhong Asymptotic behavior and blowup of some degenerate parabolic equation with critical Sobolev exponent. Commun. Appl. Anal. 8 (2004), no. 1, 67–85.
【15】Tan, Zhong Non-Newton filtration equation with special medium void. Acta Math. Sci. Ser. B (Engl. Ed.) 24 (2004), no. 1, 118–128.
【14】Tan, Zhong The existence and asymptotic behavior of some degenerate parabolic equation involving critical Sobolev and Hardy exponents. Arch. Inequal. Appl. 1 (2003), no. 2, 169–189.
【13】Tan, Zhong The concentration-compactness principle and the asymptotic behavior for some degenerate parabolic equation. Asymptot. Anal. 34 (2003), no. 1, 77–91.
【12】Tan, Zhong The reaction-diffusion equation with Lewis function and critical Sobolev exponent. J. Math. Anal. Appl. 272 (2002), no. 2, 480–495.
【11】Tan, Zhong; Yao, Zhengan Existence of multiple solutions for semilinear elliptic equation. Adv. Math. (China) 31 (2002), no. 4, 343–354.
【10】Tan, Zhong; Yao, Zheng-An Global and blowup solutions of quasilinear parabolic equation with critical Sobolev exponent and lower energy initial value. J. Inequal. Appl. 6 (2001), no. 1, 57–75.
【9】Tan, Zhong Reaction-diffusion equations with special diffusion processes. (Chinese) Chinese Ann. Math. Ser. A 22 (2001), no. 5, 597–606; translation in Chinese J. Contemp. Math. 22 (2001), no. 4, 371–382
【8】Tan, Zhong Global solution and blowup of semilinear heat equation with critical Sobolev exponent. Comm. Partial Differential Equations 26 (2001), no. 3-4, 717–741.
【7】Tan, Zhong; Yao, Zhengan The existence of multiple solutions of p-Laplacian elliptic equation. Acta Math. Sci. Ser. B (Engl. Ed.) 21 (2001), no. 2, 203–212.
【6】Tan, Zhong Concentration phenomena in the semilinear parabolic equation. Sci. China Ser. A 44 (2001), no. 1, 40–47.
【5】Tan, Zhong; Liu, Xian Gao Asymptotic behavior and boundedness for global solutions to a class of degenerate parabolic equations. (Chinese) Chinese Ann. Math. Ser. A 22 (2001), no. 1, 71–76.
【4】Yao, Zheng'an; Tan, Zhong; Lin, Shengzhi Correctors for the homogenization of some semilinear wave equations. J. Math. Study 32 (1999), no. 1, 14–20.
【3】Tan, Zhong C1,α-partial regularity for nonlinear elliptic systems. Acta Math. Sci. (English Ed.) 15 (1995), no. 3, 254–263.
【2】Tan, Zhong; Yan, Zi Qian Regularity of weak solutions to some degenerate elliptic equations and obstacle problems. Northeast. Math. J. 9 (1993), no. 2, 143–156.
【1】Tan, Zhong -partial regularity of nonlinear parabolic systems. J. Partial Differential Equations 5 (1992), no. 1, 23–34.
