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## Tan, Zhong

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 Author ID: tan.zhong Published as: Tan, Zhong; Tan, Z. Homepage: http://math-faculty.xmu.edu.cn/display.aspx?tid=113 External Links: dblp
 Documents Indexed: 234 Publications since 1992
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#### Co-Authors

 19 single-authored 20 Chen, Shuhong 17 Wang, Yong 15 Wang, Yanjin 14 Cai, Hong 14 Wu, Guochun 13 Zhang, Yinghui 12 Tong, Leilei 12 Wang, Huaqiao 12 Xu, Qiuju 9 Zhou, Jianfeng 8 Chen, Qing 8 Fang, Fei 8 Jiang, Fei 7 Xu, Jiankai 5 Gao, Zhensheng 5 Xu, Yongqiang 5 Yao, Zhengan 5 Yin, Junping 4 Sun, Mingbao 4 Wu, Wenpei 4 Wu, Zhonger 4 Xie, Minghong 3 Ai, Chengfei 3 Chen, Zhan 3 Guo, Shanshan 3 Huang, Tao 3 Liu, Chun 3 Pan, Ronghua 3 Wang, Peilin 3 Wang, Yanzhen 3 Wu, Huoxiong 2 Dai, Yichen 2 He, Lianhua 2 Liu, Xiangao 2 Sun, Daoheng 2 Wang, Dehua 2 Wu, Yunshun 2 Xiao, Wenjun 2 Zou, Weiyuan 1 Belmonte, Andrew 1 Chen, Geng 1 deForest, Russ 1 Fan, Jishan 1 Guo, Boling 1 Guo, Rongcong 1 Han, Fangyu 1 He, Kaihao 1 Huang, Jun 1 Jia, Cuiman 1 Lai, Baishun 1 Li, Fucai 1 Li, Qingxia 1 Li, Xinliang 1 Li, Yingying 1 Lin, Hui 1 Lin, Shengzhi 1 Luo, Ming 1 Mohamed, Ahmed Abdallah 1 Nakamura, Gen 1 Qiu, Yalin 1 Shen, Yannan 1 Wang, Changyou 1 Wang, Yi 1 Wang, Yucong 1 Wu, Jiahong 1 Xu, Fanhui 1 Yan, Qiaolian 1 Yan, Ziqian 1 Yang, Tong 1 Yuan, Qiubao 1 Zhan, Mengya 1 Zhang, Rongfang 1 Zhao, Huijiang 1 Zhao, Junning 1 Zhao, Ling 1 Zou, Qingyang
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#### Serials

 29 Journal of Mathematical Analysis and Applications 20 Acta Mathematica Scientia. Series B. (English Edition) 18 Journal of Xiamen University. Natural Science 17 Journal of Differential Equations 13 Mathematical Methods in the Applied Sciences 12 Communications in Mathematical Sciences 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Discrete and Continuous Dynamical Systems 8 Nonlinear Analysis. Real World Applications 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Kinetic and Related Models 6 Journal of Mathematical Study 6 Acta Mathematica Sinica. English Series 5 Applied Mathematics Letters 4 Acta Mathematicae Applicatae Sinica. English Series 4 SIAM Journal on Mathematical Analysis 4 Journal of Inequalities and Applications 3 Journal of Mathematical Physics 3 Chinese Annals of Mathematics. Series A 3 Science in China. Series A 3 NoDEA. Nonlinear Differential Equations and Applications 3 Analysis and Applications (Singapore) 3 Boundary Value Problems 2 Nonlinearity 2 Biometrika 2 Mathematische Annalen 2 Chinese Annals of Mathematics. Series B 2 Northeastern Mathematical Journal 2 Communications on Pure and Applied Analysis 1 Communications in Mathematical Physics 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Polonici Mathematici 1 Indiana University Mathematics Journal 1 Journal of Functional Analysis 1 Manuscripta Mathematica 1 Advances in Mathematics 1 Acta Scientiarum Naturalium Universitatis Jilinensis 1 Asymptotic Analysis 1 Communications in Partial Differential Equations 1 Acta Mathematica Scientia 1 Journal of Partial Differential Equations 1 Communications in Applied Analysis 1 Abstract and Applied Analysis 1 Journal of the Australian Mathematical Society 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Chinese Journal of Contemporary Mathematics 1 Archives of Inequalities and Applications 1 Mediterranean Journal of Mathematics 1 Acta Mathematica Sinica. Chinese Series 1 Advances in Mathematical Physics 1 Science China. Mathematics 1 Advances in Nonlinear Analysis 1 Journal of Function Spaces
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#### Fields

 220 Partial differential equations (35-XX) 108 Fluid mechanics (76-XX) 6 Statistical mechanics, structure of matter (82-XX) 6 Biology and other natural sciences (92-XX) 5 Integral equations (45-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Operator theory (47-XX) 3 Differential geometry (53-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Group theory and generalizations (20-XX) 2 Real functions (26-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 2 Mechanics of deformable solids (74-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH Open

143 Publications have been cited 1,030 times in 654 Documents Cited by Year
Optimal decay rates for the compressible fluid models of Korteweg type. Zbl 1211.35228
Wang, Yanjin; Tan, Zhong
2011
On the existence of solutions to the Navier-Stokes-Poisson equations of a two-dimensional compressible flow. Zbl 1107.76065
Zhang, Yinghui; Tan, Zhong
2007
Global existence and convergence rates of smooth solutions for the compressible magnetohydrodynamic equations. Zbl 1423.76486
Chen, Qing; Tan, Zhong
2010
Global solutions to the one-dimensional compressible Navier–Stokes–Poisson equations with large data. Zbl 1291.35237
Tan, Zhong; Yang, Tong; Zhao, Huijiang; Zou, Qingyang
2013
Strong solutions to the incompressible magnetohydrodynamic equations. Zbl 1254.35187
Chen, Qing; Tan, Zhong; Wang, Yanjin
2011
Optimal decay rates of the compressible magnetohydrodynamic equations. Zbl 1254.76175
Tan, Zhong; Wang, Huaqiao
2013
Global weak solution to the flow of liquid crystals system. Zbl 1185.35167
Jiang, Fei; Tan, Zhong
2009
Orlicz-Sobolev versus Hölder local minimizer and multiplicity results for quasilinear elliptic equations. Zbl 1446.35042
Tan, Zhong; Fang, Fei
2013
Global well-posedness of an initial-boundary value problem for viscous non-resistive MHD systems. Zbl 1387.35470
Tan, Zhong; Wang, Yanjin
2018
Large time behavior of solutions for compressible Euler equations with damping in $$\mathbb R^3$$. Zbl 1237.35131
Tan, Zhong; Wu, Guochun
2012
On superlinear $$p(x)$$-Laplacian problems without Ambrosetti and Rabinowitz condition. Zbl 1241.35047
Tan, Zhong; Fang, Fei
2012
The method of A-harmonic approximation and optimal interior partial regularity for nonlinear elliptic systems under the controllable growth condition. Zbl 1387.35210
Chen, Shuhong; Tan, Zhong
2007
Global existence and large-time behavior of weak solutions to the compressible magnetohydrodynamic equations with Coulomb force. Zbl 1172.76060
Tan, Zhong; Wang, Yanjin
2009
Global existence and optimal $$L^2$$ decay rate for the strong solutions to the compressible fluid models of Korteweg type. Zbl 1238.35089
Tan, Zhong; Wang, Huaqiao; Xu, Jiankai
2012
Optimal decay rates of the compressible fluid models of Korteweg type. Zbl 1292.35052
Tan, Zhong; Zhang, Rongfang
2014
Regularity criteria for the three-dimensional magnetohydrodynamic equations. Zbl 1291.35175
Fan, Jishan; Li, Fucai; Nakamura, Gen; Tan, Zhong
2014
Global solution and large-time behavior of the $$3D$$ compressible Euler equations with damping. Zbl 1259.35162
Tan, Zhong; Wang, Yong
2013
Global existence and optimal decay rate for the strong solutions in $$H^{2}$$ to the compressible Navier-Stokes equations. Zbl 1398.76194
Wang, Yanjin; Tan, Zhong
2011
Decay estimates of the coupled chemotaxis-fluid equations in $$R^3$$. Zbl 1333.92015
Tan, Zhong; Zhang, Xu
2014
Existence and multiplicity of solutions for a class of quasilinear elliptic equations: an Orlicz-Sobolev space setting. Zbl 1236.35065
Fang, Fei; Tan, Zhong
2012
Stability of steady states of the Navier-Stokes-Poisson equations with non-flat doping profile. Zbl 1326.35287
Tan, Zhong; Wang, Yanjin; Wang, Yong
2015
Zero surface tension limit of viscous surface waves. Zbl 1296.35125
Tan, Zhong; Wang, Yanjin
2014
Non-Newton filtration equation with special medium void. Zbl 1059.35070
Tan, Zhong
2004
Global existence and asymptotic behavior of smooth solutions to a coupled hyperbolic-parabolic system. Zbl 1258.35035
Zhang, Yinghui; Tan, Zhong; Sun, Ming-Bao
2013
Global existence and large time behavior for the system of compressible adiabatic flow through porous media in $$\mathbb R^3$$. Zbl 1404.35372
Wu, Guochun; Tan, Zhong; Huang, Jun
2013
Global existence and decay estimate of solutions to magneto-micropolar fluid equations. Zbl 1457.76202
Tan, Zhong; Wu, Wenpei; Zhou, Jianfeng
2019
Global solution and blowup of semilinear heat equation with critical Sobolev exponent. Zbl 0983.35069
Tan, Zhong
2001
Optimal interior partial regularity for nonlinear elliptic systems. Zbl 1191.35115
Chen, Shuhong; Tan, Zhong
2010
Large time behavior of solutions to the non-isentropic compressible Navier-Stokes-Poisson system in $$\mathbb{R}^{3}$$. Zbl 1256.35067
Tan, Zhong; Wang, Yong; Zhang, Xu
2012
Decay estimates of solutions to the compressible Euler-Maxwell system in $$\mathbb{R}^3$$. Zbl 1296.83018
Tan, Zhong; Wang, Yanjin; Wang, Yong
2014
On hyperbolic-dissipative systems of composite type. Zbl 1329.35067
Tan, Zhong; Wang, Yanjin
2016
Time decay of solutions to the compressible Euler equations with damping. Zbl 1318.35072
Chen, Qing; Tan, Zhong
2014
Global existence for the non-isentropic compressible Navier-Stokes-Poisson system in three and higher dimensions. Zbl 1238.35090
Tan, Zhong; Wu, Guochun
2012
Time periodic solutions of the compressible magnetohydrodynamic equations. Zbl 1251.76066
Tan, Zhong; Wang, Huaqiao
2013
Energy dissipation for weak solutions of incompressible MHD equations. Zbl 1299.35234
Gao, Zhensheng; Tan, Zhong; Wu, Guochun
2013
Global analysis for strong solutions to the equations of a ferrofluid flow model. Zbl 1185.35174
Tan, Zhong; Wang, Yanjin
2010
Optimal interior partial regularity for nonlinear elliptic systems under the natural growth condition: the method of A-harmonic approximation. Zbl 1150.35032
Chen, Shuhong; Tan, Zhong
2007
Complete bounded trajectories and attractors for compressible barotropic self-gravitating fluid. Zbl 1171.35096
Jiang, Fei; Tan, Zhong
2009
LPS’s criterion for incompressible nematic liquid crystal flows. Zbl 1324.35145
Chen, Qing; Tan, Zhong; Wu, Guochun
2014
Local existence of the strong solutions for the full Navier-Stokes-Poisson equations. Zbl 1173.35103
Yin, Junping; Tan, Zhong
2009
Global existence and convergence rates of smooth solutions for the 3-D compressible magnetohydrodynamic equations without heat conductivity. Zbl 1313.76126
Gao, Zhensheng; Tan, Zhong; Wu, Guochun
2014
A generalized Poisson-Nernst-Planck-Navier-Stokes model on the fluid with the crowded charged particles: derivation and its well-posedness. Zbl 1416.35220
Wang, Yong; Liu, Chun; Tan, Zhong
2016
Decay estimates of the non-isentropic compressible fluid models of Korteweg type in $$\mathbb R^3$$. Zbl 1311.35191
Zhang, Xu; Tan, Zhong
2014
Periodic solutions to the compressible magnetohydrodynamic equations in a periodic domain. Zbl 1311.35207
Cai, Hong; Tan, Zhong
2015
Time periodic solutions of the non-isentropic compressible fluid models of Korteweg type. Zbl 1311.35208
Cai, Hong; Tan, Zhong; Xu, Qiuju
2015
Zero dissipation limit with two interacting shocks of the 1D non-isentropic Navier-Stokes equation. Zbl 1292.35172
Zhang, Yinghui; Pan, Ronghua; Wang, Yi; Tan, Zhong
2013
Optimal interior partial regularity for nonlinear elliptic systems for the case $$1<m<2$$ under natural growth condition. Zbl 1192.35043
Chen, Shuhong; Tan, Zhong
2010
A note on global existence of weak solutions to the compressible magnetohydrodynamic equations with Coulomb force. Zbl 1211.35216
Jiang, Fei; Tan, Zhong; Wang, Huaqiao
2011
Large time behavior of the compressible magnetohydrodynamic equations with Coulomb force. Zbl 1315.35177
Tan, Zhong; Tong, Leilei; Wang, Yong
2015
Large time behavior of solutions to the isentropic compressible fluid models of Korteweg type in $$\mathbb{R}^3$$. Zbl 1282.35316
Tan, Zhong; Wang, Yong
2012
Global existence of strong solutions of Navier-Stokes-Poisson equations for one-dimensional isentropic compressible fluids. Zbl 1158.35302
Yin, Junping; Tan, Zhong
2008
Strong solutions for the incompressible fluid models of Korteweg type. Zbl 1228.76038
Tan, Zhong; Wang, Yanjin
2010
Global existence and optimal decay rate for the strong solutions in $$H^2$$ to the 3-D compressible Navier-Stokes equations without heat conductivity. Zbl 1246.35150
Tan, Zhong; Wang, Huaqiao
2012
Blow-up of smooth solutions to the compressible fluid models of Korteweg type. Zbl 1393.76097
Zhang, Yinghui; Tan, Zhong
2012
Global low-energy weak solution and large-time behavior for the compressible flow of liquid crystals. Zbl 1388.35056
Wu, Guochun; Tan, Zhong
2018
Regularity of weak solutions to some degenerate elliptic equations and obstacle problems. Zbl 0819.35021
Tan, Zhong; Yan, Ziqian
1993
Optimal partial regularity for nonlinear sub-elliptic systems. Zbl 1242.35212
Chen, Shuhong; Tan, Zhong
2012
Existence and asymptotic behavior of global smooth solution for $$p$$-system with damping and boundary effect. Zbl 1190.35142
Zhang, Yinghui; Tan, Zhong
2010
Asymptotic compactness of global trajectories generated by the Navier-Stokes-Poisson equations of a compressible fluid. Zbl 1178.35292
Jiang, Fei; Tan, Zhong; Yan, Qiaolian
2009
Time periodic solutions to Navier-Stokes-Korteweg system with friction. Zbl 1329.35032
Cai, Hong; Tan, Zhong; Xu, Qiuju
2016
Time periodic solutions to the 3D compressible fluid models of Korteweg type. Zbl 1339.35250
Tan, Zhong; Xu, Qiuju
2016
The reaction-diffusion equation with Lewis function and critical Sobolev exponent. Zbl 1015.35017
Tan, Zhong
2002
Global existence of the finite energy weak solutions to a nematic liquid crystals model. Zbl 1216.35100
Xu, Jiankai; Tan, Zhong
2011
Time decay rates for the compressible viscoelastic flows. Zbl 1367.35132
Wu, Guochun; Gao, Zhensheng; Tan, Zhong
2017
Partial regularity in the interior for discontinuous inhomogeneous elliptic system with VMO-coefficients. Zbl 1356.74073
Tan, Zhong; Wang, Yanzhen; Chen, Shuhong
2017
Radial symmetry and asymptotic behaviors of positive solutions for certain nonlinear integral equations. Zbl 1332.31006
Xu, Jiankai; Wu, Huoxiong; Tan, Zhong
2015
Boundary regularity result for quasilinear elliptic systems. Zbl 1278.35070
Chen, Shuhong; Tan, Zhong
2012
Decay estimates for isentropic compressible magnetohydrodynamic equations in bounded domain. Zbl 1289.35248
Mohamed, Ahmed Abdallah; Jiang, Fei; Tan, Zhong
2012
Optimal interior partial regularity for nonlinear elliptic systems with Dini continuous coefficients. Zbl 1240.35170
Qiu, Yalin; Tan, Zhong
2010
The method of $$p$$-harmonic approximation and optimal interior partial regularity for energy minimizing $$p$$-harmonic maps under the controllable growth condition. Zbl 1189.35125
Chen, Shu-Hong; Tan, Zhong
2007
Stability of steady states of the compressible Euler-Poisson system in $$\mathbb R^3$$. Zbl 1312.35016
Wang, Yong; Tan, Zhong
2015
Global strong solution to the three-dimensional stochastic incompressible magnetohydrodynamic equations. Zbl 1379.35254
Tan, Zhong; Wang, Dehua; Wang, Huaqiao
2016
Global existence and asymptotic analysis of weak solutions to the equations of Ferrohydrodynamics. Zbl 1201.35164
Wang, Yanjin; Tan, Zhong
2010
Optimal partial regularity of second order parabolic systems under controllable growth condition. Zbl 1295.35152
Chen, Shuhong; Tan, Zhong
2014
Blow-up of smooth solutions to the Navier-Stokes equations of compressible viscous heat-conducting fluids. Zbl 1191.35210
Tan, Zhong; Wang, Yanjin
2010
Decay estimate of solutions to the coupled chemotaxis-fluid equations in $$\mathbb{R}^3$$. Zbl 1394.35049
Tan, Zhong; Zhou, Jianfeng
2018
Global analysis of smooth solutions to a generalized hyperbolic-parabolic system modeling chemotaxis. Zbl 1265.35228
Zhang, Yinghui; Tan, Zhong; Lai, Baishun; Sun, Mingbao
2012
Decay of the non-isentropic Navier-Stokes-Poisson equations. Zbl 1308.35227
Tan, Zhong; Zhang, Xu
2013
Uniqueness of conservative solutions to the modified two-component Camassa-Holm system via characteristics. Zbl 1391.35107
Cai, Hong; Tan, Zhong
2018
Existence and nonexistence of global solutions for a semi-linear heat equation with fractional Laplacian. Zbl 1289.35135
Tan, Zhong; Xu, Yongqiang
2012
Zero dissipation limit to a Riemann solution consisting of two shock waves for the 1D compressible isentropic Navier-Stokes equations. Zbl 1292.35247
Zhang, YingHui; Pan, RongHua; Tan, Zhong
2013
On the domain dependence of solutions to the Navier-Stokes equations of a two-dimensional compressible flow. Zbl 1188.35131
Jiang, Fei; Tan, Zhong
2009
On radially symmetric solutions of the compressible isentropic self-gravitating fluid. Zbl 1184.35242
Jiang, Fei; Tan, Zhong
2010
Time periodic solutions to the three-dimensional equations of compressible magnetohydrodynamic flows. Zbl 1326.35260
Cai, Hong; Tan, Zhong
2016
Well-posedness on a new hydrodynamic model of the fluid with the dilute charged particles. Zbl 1352.35127
Wang, Yong; Liu, Chun; Tan, Zhong
2017
Global existence and convergence rates for the compressible magnetohydrodynamic equations without heat conductivity. Zbl 1332.35301
Tan, Zhong; Xu, Qiuju; Wang, Huaqiao
2015
Large-time behavior of the full compressible Euler-Poisson system without the temperature damping. Zbl 1336.35068
Tan, Zhong; Wang, Yong; Xu, Fanhui
2016
Partial regularity for subquadratic parabolic systems under controllable growth conditions. Zbl 1381.35075
Dai, Yichen; Tan, Zhong; Chen, Shuhong
2016
Reaction-diffusion equations with special diffusion processes. Zbl 0994.35074
Tan, Zhong
2001
Asymptotic behavior of Navier-Stokes-Korteweg with friction in $$\mathbb R^3$$. Zbl 1284.35323
Tan, Zhong; Zhang, Xu; Wang, Huaqiao
2014
Strong solutions of the coupled Navier-Stokes-Poisson equations for isentropic compressible fluids. Zbl 1240.35390
Tan, Zhong; Zhang, Yinghui
2010
Blow-up of viscous compressible reactive self-gravitating gas. Zbl 1359.35131
Jiang, Fei; Tan, Zhong
2012
On the motion of the 3D compressible micropolar fluids with time periodic external forces. Zbl 1395.76079
Tan, Zhong; Xu, Qiuju
2018
Partial regularity up to the boundary for solutions of subquadratic elliptic systems. Zbl 1404.35180
Tan, Zhong; Wang, Yanzhen; Chen, Shuhong
2018
A class of global large solutions to the magnetohydrodynamic equations with fractional dissipation. Zbl 1428.35353
Dai, Yichen; Tan, Zhong; Wu, Jiahong
2019
Global existence and time decay estimate of solutions to the Keller-Segel system. Zbl 1407.35107
Tan, Zhong; Zhou, Jianfeng
2019
$$C^{1,\alpha{}}$$-partial regularity of nonlinear parabolic systems. Zbl 0772.35009
Tan, Zhong
1992
$$C^{1,\alpha}$$-partial regularity for nonlinear elliptic systems. Zbl 0855.35018
Tan, Zhong
1995
Generic regularity and Lipschitz metric for the Hunter-Saxton type equations. Zbl 1361.35153
Cai, Hong; Chen, Geng; Shen, Yannan; Tan, Zhong
2017
Large-time behavior of solutions to the compressible non-isentropic Euler-Maxwell system in $$\mathbb R^3$$. Zbl 1295.35106
Tan, Zhong; Wang, Yong
2014
Regularized calibrated estimation of propensity scores with model misspecification and high-dimensional data. Zbl 1435.62274
Tan, Z.
2020
Existence of mild solutions and regularity criteria of weak solutions to the viscoelastic Navier-Stokes equation with damping. Zbl 1439.35377
Tan, Zhong; Wu, Wenpei; Zhou, Jianfeng
2020
Mathematical modeling and qualitative analysis of viscoelastic conductive fluids. Zbl 1451.76008
Tan, Zhong; Wang, Yong; Wu, Wenpei
2020
Global existence and decay estimate of solutions to magneto-micropolar fluid equations. Zbl 1457.76202
Tan, Zhong; Wu, Wenpei; Zhou, Jianfeng
2019
A class of global large solutions to the magnetohydrodynamic equations with fractional dissipation. Zbl 1428.35353
Dai, Yichen; Tan, Zhong; Wu, Jiahong
2019
Global existence and time decay estimate of solutions to the Keller-Segel system. Zbl 1407.35107
Tan, Zhong; Zhou, Jianfeng
2019
Optimal decay rates of the compressible magneto-micropolar fluids system in $$\mathbb R^3$$. Zbl 1428.35397
Tong, Leilei; Tan, Zhong
2019
Global well-posedness of an initial-boundary value problem for viscous non-resistive MHD systems. Zbl 1387.35470
Tan, Zhong; Wang, Yanjin
2018
Global low-energy weak solution and large-time behavior for the compressible flow of liquid crystals. Zbl 1388.35056
Wu, Guochun; Tan, Zhong
2018
Decay estimate of solutions to the coupled chemotaxis-fluid equations in $$\mathbb{R}^3$$. Zbl 1394.35049
Tan, Zhong; Zhou, Jianfeng
2018
Uniqueness of conservative solutions to the modified two-component Camassa-Holm system via characteristics. Zbl 1391.35107
Cai, Hong; Tan, Zhong
2018
On the motion of the 3D compressible micropolar fluids with time periodic external forces. Zbl 1395.76079
Tan, Zhong; Xu, Qiuju
2018
Partial regularity up to the boundary for solutions of subquadratic elliptic systems. Zbl 1404.35180
Tan, Zhong; Wang, Yanzhen; Chen, Shuhong
2018
Existence and uniqueness of mild solutions to the magneto-hydro-dynamic equations. Zbl 1382.35238
Tan, Zhong; Wu, Wenpei; Zhou, Jianfeng
2018
Lipschitz metric for conservative solutions of the modified two-component Camassa-Holm system. Zbl 1406.35099
Cai, Hong; Tan, Zhong
2018
Heat flow for Dirichlet-to-Neumann operator with critical growth. Zbl 1391.35199
Fang, Fei; Tan, Zhong
2018
Asymptotic behavior of the compressible non-isentropic Navier-Stokes-Maxwell system in $$\mathbb{R}^3$$. Zbl 1375.35402
Tan, Zhong; Tong, Leilei
2018
Time decay rates for the compressible viscoelastic flows. Zbl 1367.35132
Wu, Guochun; Gao, Zhensheng; Tan, Zhong
2017
Partial regularity in the interior for discontinuous inhomogeneous elliptic system with VMO-coefficients. Zbl 1356.74073
Tan, Zhong; Wang, Yanzhen; Chen, Shuhong
2017
Well-posedness on a new hydrodynamic model of the fluid with the dilute charged particles. Zbl 1352.35127
Wang, Yong; Liu, Chun; Tan, Zhong
2017
Generic regularity and Lipschitz metric for the Hunter-Saxton type equations. Zbl 1361.35153
Cai, Hong; Chen, Geng; Shen, Yannan; Tan, Zhong
2017
Decay estimates of solutions to the bipolar non-isentropic compressible Euler-Maxwell system. Zbl 1380.82047
Tan, Zhong; Wang, Yong; Tong, Leilei
2017
Partial regularity of a certain class of non-Newtonian fluids. Zbl 1373.35253
Tan, Zhong; Zhou, Jianfeng
2017
Strong solutions and instability for the fitness gradient system in evolutionary games between two populations. Zbl 1372.37137
Xu, Qiuju; Belmonte, Andrew; deForest, Russ; Liu, Chun; Tan, Zhong
2017
Time periodic solutions to the compressible Navier-Stokes-Poisson system with damping. Zbl 1364.35258
Cai, Hong; Tan, Zhong
2017
Partial regularity for subquadratic homogeneity elliptic system with VMO-coefficients. Zbl 1371.35102
Tan, Zhong; Wang, Yanzhen
2017
On the outer pressure problem of the one-dimensional compressible Navier-Stokes equation with degenerate transport coefficients. Zbl 1360.35201
Wu, Guochun; Chen, Qing; Tan, Zhong
2017
Asymptotic stability of stationary solutions for magnetohydrodynamic equations. Zbl 1361.35028
Tan, Zhong; Tong, Leilei
2017
On hyperbolic-dissipative systems of composite type. Zbl 1329.35067
Tan, Zhong; Wang, Yanjin
2016
A generalized Poisson-Nernst-Planck-Navier-Stokes model on the fluid with the crowded charged particles: derivation and its well-posedness. Zbl 1416.35220
Wang, Yong; Liu, Chun; Tan, Zhong
2016
Time periodic solutions to Navier-Stokes-Korteweg system with friction. Zbl 1329.35032
Cai, Hong; Tan, Zhong; Xu, Qiuju
2016
Time periodic solutions to the 3D compressible fluid models of Korteweg type. Zbl 1339.35250
Tan, Zhong; Xu, Qiuju
2016
Global strong solution to the three-dimensional stochastic incompressible magnetohydrodynamic equations. Zbl 1379.35254
Tan, Zhong; Wang, Dehua; Wang, Huaqiao
2016
Time periodic solutions to the three-dimensional equations of compressible magnetohydrodynamic flows. Zbl 1326.35260
Cai, Hong; Tan, Zhong
2016
Large-time behavior of the full compressible Euler-Poisson system without the temperature damping. Zbl 1336.35068
Tan, Zhong; Wang, Yong; Xu, Fanhui
2016
Partial regularity for subquadratic parabolic systems under controllable growth conditions. Zbl 1381.35075
Dai, Yichen; Tan, Zhong; Chen, Shuhong
2016
Decay estimates of solutions to the compressible Navier-Stokes-Maxwell system in $$\mathbb R^{3*}$$. Zbl 1346.35020
Tan, Zhong; Tong, Leilei
2016
Weak time-periodic solutions to the compressible Navier-Stokes equations. Zbl 1363.35267
Cai, Hong; Tan, Zhong
2016
Global existence and large time behavior of the asymmetric fluids. Zbl 1442.76099
Tan, Zhong; Tong, Leilei
2016
Higher integrability of weak solution of a nonlinear problem arising in the electrorheological fluids. Zbl 1348.35051
Tan, Zhong; Zhou, Jianfeng
2016
Existence and stability of stationary solutions to the compressible Navier-Stokes-Poisson equations. Zbl 1348.35183
Cai, Hong; Tan, Zhong
2016
Time periodic solution to the compressible Euler equations with damping in a periodic domain. Zbl 1354.35083
Tan, Zhong; Xu, Qiuju; Wang, Huaqiao
2016
Multiplicity results for a nonlinear elliptic problem involving the fractional Laplacian. Zbl 1374.35164
Xu, Yongqiang; Tan, Zhong; Sun, Daoheng
2016
Local 4/5-law and energy dissipation anomaly in turbulence of incompressible MHD equations. Zbl 1358.35117
Guo, Shanshan; Tan, Zhong
2016
Stability of steady states of the Navier-Stokes-Poisson equations with non-flat doping profile. Zbl 1326.35287
Tan, Zhong; Wang, Yanjin; Wang, Yong
2015
Periodic solutions to the compressible magnetohydrodynamic equations in a periodic domain. Zbl 1311.35207
Cai, Hong; Tan, Zhong
2015
Time periodic solutions of the non-isentropic compressible fluid models of Korteweg type. Zbl 1311.35208
Cai, Hong; Tan, Zhong; Xu, Qiuju
2015
Large time behavior of the compressible magnetohydrodynamic equations with Coulomb force. Zbl 1315.35177
Tan, Zhong; Tong, Leilei; Wang, Yong
2015
Radial symmetry and asymptotic behaviors of positive solutions for certain nonlinear integral equations. Zbl 1332.31006
Xu, Jiankai; Wu, Huoxiong; Tan, Zhong
2015
Stability of steady states of the compressible Euler-Poisson system in $$\mathbb R^3$$. Zbl 1312.35016
Wang, Yong; Tan, Zhong
2015
Global existence and convergence rates for the compressible magnetohydrodynamic equations without heat conductivity. Zbl 1332.35301
Tan, Zhong; Xu, Qiuju; Wang, Huaqiao
2015
The global wellposedness of the 3D heat-conducting viscous incompressible fluids with bounded density. Zbl 1308.35234
Zhang, Xu; Tan, Zhong
2015
Weak time-periodic solutions to the compressible Navier-Stokes-Poisson equations. Zbl 1330.35314
Cai, Hong; Tan, Zhong
2015
Optimal decay rates of the compressible fluid models of Korteweg type. Zbl 1292.35052
Tan, Zhong; Zhang, Rongfang
2014
Regularity criteria for the three-dimensional magnetohydrodynamic equations. Zbl 1291.35175
Fan, Jishan; Li, Fucai; Nakamura, Gen; Tan, Zhong
2014
Decay estimates of the coupled chemotaxis-fluid equations in $$R^3$$. Zbl 1333.92015
Tan, Zhong; Zhang, Xu
2014
Zero surface tension limit of viscous surface waves. Zbl 1296.35125
Tan, Zhong; Wang, Yanjin
2014
Decay estimates of solutions to the compressible Euler-Maxwell system in $$\mathbb{R}^3$$. Zbl 1296.83018
Tan, Zhong; Wang, Yanjin; Wang, Yong
2014
Time decay of solutions to the compressible Euler equations with damping. Zbl 1318.35072
Chen, Qing; Tan, Zhong
2014
LPS’s criterion for incompressible nematic liquid crystal flows. Zbl 1324.35145
Chen, Qing; Tan, Zhong; Wu, Guochun
2014
Global existence and convergence rates of smooth solutions for the 3-D compressible magnetohydrodynamic equations without heat conductivity. Zbl 1313.76126
Gao, Zhensheng; Tan, Zhong; Wu, Guochun
2014
Decay estimates of the non-isentropic compressible fluid models of Korteweg type in $$\mathbb R^3$$. Zbl 1311.35191
Zhang, Xu; Tan, Zhong
2014
Optimal partial regularity of second order parabolic systems under controllable growth condition. Zbl 1295.35152
Chen, Shuhong; Tan, Zhong
2014
Asymptotic behavior of Navier-Stokes-Korteweg with friction in $$\mathbb R^3$$. Zbl 1284.35323
Tan, Zhong; Zhang, Xu; Wang, Huaqiao
2014
Large-time behavior of solutions to the compressible non-isentropic Euler-Maxwell system in $$\mathbb R^3$$. Zbl 1295.35106
Tan, Zhong; Wang, Yong
2014
The non-existence results for a class of integral equation. Zbl 1288.45006
Xu, Jiankai; Wu, Huoxiong; Tan, Zhong
2014
Global solutions to the one-dimensional compressible Navier–Stokes–Poisson equations with large data. Zbl 1291.35237
Tan, Zhong; Yang, Tong; Zhao, Huijiang; Zou, Qingyang
2013
Optimal decay rates of the compressible magnetohydrodynamic equations. Zbl 1254.76175
Tan, Zhong; Wang, Huaqiao
2013
Orlicz-Sobolev versus Hölder local minimizer and multiplicity results for quasilinear elliptic equations. Zbl 1446.35042
Tan, Zhong; Fang, Fei
2013
Global solution and large-time behavior of the $$3D$$ compressible Euler equations with damping. Zbl 1259.35162
Tan, Zhong; Wang, Yong
2013
Global existence and asymptotic behavior of smooth solutions to a coupled hyperbolic-parabolic system. Zbl 1258.35035
Zhang, Yinghui; Tan, Zhong; Sun, Ming-Bao
2013
Global existence and large time behavior for the system of compressible adiabatic flow through porous media in $$\mathbb R^3$$. Zbl 1404.35372
Wu, Guochun; Tan, Zhong; Huang, Jun
2013
Time periodic solutions of the compressible magnetohydrodynamic equations. Zbl 1251.76066
Tan, Zhong; Wang, Huaqiao
2013
Energy dissipation for weak solutions of incompressible MHD equations. Zbl 1299.35234
Gao, Zhensheng; Tan, Zhong; Wu, Guochun
2013
Zero dissipation limit with two interacting shocks of the 1D non-isentropic Navier-Stokes equation. Zbl 1292.35172
Zhang, Yinghui; Pan, Ronghua; Wang, Yi; Tan, Zhong
2013
Decay of the non-isentropic Navier-Stokes-Poisson equations. Zbl 1308.35227
Tan, Zhong; Zhang, Xu
2013
Zero dissipation limit to a Riemann solution consisting of two shock waves for the 1D compressible isentropic Navier-Stokes equations. Zbl 1292.35247
Zhang, YingHui; Pan, RongHua; Tan, Zhong
2013
Optimal partial regularity of second-order parabolic systems under natural growth condition. Zbl 1295.35151
Chen, Shuhong; Tan, Zhong
2013
Nontrivial solutions for $$N$$-Laplacian equations with sub-exponential growth. Zbl 1270.35217
Tan, Zhong; Fang, Fei
2013
Global smooth solutions to a coupled hyperbolic-parabolic system. Zbl 1289.35235
Zhang, Yinghui; Tan, Zhong; Sun, Mingbao
2013
Optimal partial regularity results for nonlinear elliptic systems in Carnot groups. Zbl 1277.35089
Chen, Shuhong; Tan, Zhong
2013
Large time behavior of solutions for compressible Euler equations with damping in $$\mathbb R^3$$. Zbl 1237.35131
Tan, Zhong; Wu, Guochun
2012
On superlinear $$p(x)$$-Laplacian problems without Ambrosetti and Rabinowitz condition. Zbl 1241.35047
Tan, Zhong; Fang, Fei
2012
Global existence and optimal $$L^2$$ decay rate for the strong solutions to the compressible fluid models of Korteweg type. Zbl 1238.35089
Tan, Zhong; Wang, Huaqiao; Xu, Jiankai
2012
Existence and multiplicity of solutions for a class of quasilinear elliptic equations: an Orlicz-Sobolev space setting. Zbl 1236.35065
Fang, Fei; Tan, Zhong
2012
Large time behavior of solutions to the non-isentropic compressible Navier-Stokes-Poisson system in $$\mathbb{R}^{3}$$. Zbl 1256.35067
Tan, Zhong; Wang, Yong; Zhang, Xu
2012
Global existence for the non-isentropic compressible Navier-Stokes-Poisson system in three and higher dimensions. Zbl 1238.35090
Tan, Zhong; Wu, Guochun
2012
Large time behavior of solutions to the isentropic compressible fluid models of Korteweg type in $$\mathbb{R}^3$$. Zbl 1282.35316
Tan, Zhong; Wang, Yong
2012
Global existence and optimal decay rate for the strong solutions in $$H^2$$ to the 3-D compressible Navier-Stokes equations without heat conductivity. Zbl 1246.35150
Tan, Zhong; Wang, Huaqiao
2012
Blow-up of smooth solutions to the compressible fluid models of Korteweg type. Zbl 1393.76097
Zhang, Yinghui; Tan, Zhong
2012
Optimal partial regularity for nonlinear sub-elliptic systems. Zbl 1242.35212
Chen, Shuhong; Tan, Zhong
2012
Boundary regularity result for quasilinear elliptic systems. Zbl 1278.35070
Chen, Shuhong; Tan, Zhong
2012
Decay estimates for isentropic compressible magnetohydrodynamic equations in bounded domain. Zbl 1289.35248
Mohamed, Ahmed Abdallah; Jiang, Fei; Tan, Zhong
2012
Global analysis of smooth solutions to a generalized hyperbolic-parabolic system modeling chemotaxis. Zbl 1265.35228
Zhang, Yinghui; Tan, Zhong; Lai, Baishun; Sun, Mingbao
2012
Existence and nonexistence of global solutions for a semi-linear heat equation with fractional Laplacian. Zbl 1289.35135
Tan, Zhong; Xu, Yongqiang
2012
Blow-up of viscous compressible reactive self-gravitating gas. Zbl 1359.35131
Jiang, Fei; Tan, Zhong
2012
Global existence in critical spaces for the compressible magnetohydrodynamic equations. Zbl 1258.35165
Chen, Qing; Tan, Zhong
2012
A global existence result for the compressible Navier-Stokes-Poisson equations in three and higher dimensions. Zbl 1258.35055
Gao, Zhensheng; Tan, Zhong
2012
Optimal decay rates for the compressible fluid models of Korteweg type. Zbl 1211.35228
Wang, Yanjin; Tan, Zhong
2011
Strong solutions to the incompressible magnetohydrodynamic equations. Zbl 1254.35187
Chen, Qing; Tan, Zhong; Wang, Yanjin
2011
...and 43 more Documents
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#### Cited by 650 Authors

 77 Tan, Zhong 22 Yao, Zhengan 19 Zhu, Changjiang 16 Li, Yeping 16 Zhang, Yinghui 15 Wang, Jialin 14 Fan, Jishan 14 Jiang, Fei 13 Chen, Shuhong 13 Guo, Boling 12 Liao, Dongni 12 Wang, Yanjin 12 Wu, Guochun 10 Cai, Hong 10 Li, Yin 10 Wei, Ruiying 9 Chen, Zhengzheng 9 Da Silva, Edcarlos Domingos 9 Jiang, Song 9 Kim, Yunho 9 Tong, Leilei 9 Wang, Yong 9 Yin, Haiyan 9 Zhong, Xin 8 Gao, Jincheng 8 Abreu Goncalves, Jose Valdo 8 Li, Jinkai 8 Pu, Xueke 8 Wang, Wenjun 8 Yao, Lei 8 Zhao, Huijiang 7 Carvalho, Marcos L. M. 7 Chen, Qing 7 Nakamura, Gen 7 Peng, Hongyun 7 Wang, Weiwei 7 Wang, Yinxia 7 Wen, Huanyao 7 Xu, Jiang 7 Zhou, Jianfeng 7 Zhou, Jun 6 Li, Fucai 6 Li, Hailiang 6 Wang, Huaqiao 6 Wang, Weike 6 Wu, Zhigang 6 Xi, Xiaoyu 5 Alves, Claudianor Oliveira 5 Feng, Yuehong 5 Gong, Huajun 5 Hou, Xiaofeng 5 Kawashima, Shuichi 5 Lee, Jun Ik 5 Li, Yongsheng 5 Liao, Yongkai 5 Papageorgiou, Nikolaos S. 5 Tang, Tong 5 Tice, Ian 5 Wang, Shu 5 Wang, Yulan 5 Wang, Yuzhu 5 Wu, Jiahong 5 Xiang, Zhaoyin 5 Xu, Jiankai 5 Xu, Qiuju 5 Yu, Zefeng 5 Zhai, Xiaoping 4 Bie, Qunyi 4 Chen, Fei 4 Ding, Shijin 4 Duan, Renjun 4 Fang, Fei 4 Goulart, Claudiney 4 Liu, Shengquan 4 Rădulescu, Vicenţiu D. 4 Santos, Carlos Alberto P. 4 Tao, Qiang 4 Wang, Dehua 4 Wang, Zhian 4 Wu, Wenpei 4 Yang, Jianwei 4 Yuan, Hongjun 4 Zhang, Jianwen 4 Zhao, Kun 4 Zhou, Yong 3 Dou, Changsheng 3 Figueiredo, Giovany Malcher 3 Gala, Sadek 3 Gao, Zhensheng 3 Granero Belinchón, Rafael 3 Guo, Shanshan 3 Hamdache, Kamel 3 He, Lin 3 Hong, GuangYi 3 Huang, Bingkang 3 Jia, Junxiong 3 Kim, Jaemyoung 3 Li, Xiaoli 3 Li, Yang 3 Lin, Hongxia ...and 550 more Authors
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#### Cited in 108 Serials

 73 Journal of Differential Equations 67 Journal of Mathematical Analysis and Applications 49 ZAMP. Zeitschrift für angewandte Mathematik und Physik 33 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 29 Nonlinear Analysis. Real World Applications 25 Boundary Value Problems 23 Journal of Mathematical Physics 19 Discrete and Continuous Dynamical Systems 18 SIAM Journal on Mathematical Analysis 16 Mathematical Methods in the Applied Sciences 16 Applied Mathematics Letters 14 Communications on Pure and Applied Analysis 13 Acta Applicandae Mathematicae 11 Journal of Mathematical Fluid Mechanics 10 Computers & Mathematics with Applications 10 Science China. Mathematics 9 Acta Mathematica Sinica. English Series 9 Analysis and Applications (Singapore) 9 Kinetic and Related Models 8 Archive for Rational Mechanics and Analysis 8 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 8 Discrete and Continuous Dynamical Systems. Series B 6 Nonlinearity 6 Journal of Functional Analysis 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 5 Applicable Analysis 5 Applied Mathematics and Computation 5 Journal of Inequalities and Applications 5 Acta Mathematica Scientia. Series B. (English Edition) 5 Advances in Nonlinear Analysis 4 Annales Polonici Mathematici 4 Acta Mathematicae Applicatae Sinica. English Series 4 Asymptotic Analysis 4 Calculus of Variations and Partial Differential Equations 4 Electronic Journal of Differential Equations (EJDE) 4 Complex Variables and Elliptic Equations 4 Discrete and Continuous Dynamical Systems. Series S 3 Rocky Mountain Journal of Mathematics 3 Advances in Mathematics 3 Zeitschrift für Analysis und ihre Anwendungen 3 Chinese Annals of Mathematics. Series B 3 Abstract and Applied Analysis 3 Journal of Evolution Equations 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Advances in Mathematical Physics 2 Computer Methods in Applied Mechanics and Engineering 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Applied Mathematics and Optimization 2 Journal of the Korean Mathematical Society 2 Quarterly of Applied Mathematics 2 Communications in Partial Differential Equations 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Journal of Dynamics and Differential Equations 2 Topological Methods in Nonlinear Analysis 2 NoDEA. Nonlinear Differential Equations and Applications 2 Mathematical Problems in Engineering 2 Taiwanese Journal of Mathematics 2 Communications of the Korean Mathematical Society 2 Journal of Dynamical and Control Systems 2 Communications in Contemporary Mathematics 2 Journal of Hyperbolic Differential Equations 2 Mediterranean Journal of Mathematics 2 Journal of Nonlinear Science and Applications 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Communications in Mathematical Physics 1 Indiana University Mathematics Journal 1 Journal of Computational and Applied Mathematics 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Rendiconti del Seminario Matematico della Università di Padova 1 Ricerche di Matematica 1 Studies in Applied Mathematics 1 Transactions of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Physica D 1 Applied Numerical Mathematics 1 Science in China. Series A 1 Applications of Mathematics 1 Journal of Nonlinear Science 1 Applied Mathematics. Series B (English Edition) 1 Applicationes Mathematicae 1 Advances in Applied Clifford Algebras 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Differential Equations and Dynamical Systems 1 Mathematical Physics, Analysis and Geometry 1 Journal of Applied Mathematics 1 Journal of Applied Mathematics and Computing 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Milan Journal of Mathematics 1 Advances in Difference Equations 1 Frontiers of Mathematics in China 1 Journal of Physics A: Mathematical and Theoretical 1 Electronic Research Announcements in Mathematical Sciences 1 Advances in Calculus of Variations 1 Asian-European Journal of Mathematics 1 Differential Equations and Applications 1 Symmetry ...and 8 more Serials
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#### Cited in 25 Fields

 615 Partial differential equations (35-XX) 423 Fluid mechanics (76-XX) 29 Biology and other natural sciences (92-XX) 28 Statistical mechanics, structure of matter (82-XX) 15 Global analysis, analysis on manifolds (58-XX) 15 Optics, electromagnetic theory (78-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 11 Classical thermodynamics, heat transfer (80-XX) 9 Harmonic analysis on Euclidean spaces (42-XX) 9 Functional analysis (46-XX) 8 Numerical analysis (65-XX) 7 Ordinary differential equations (34-XX) 5 Integral equations (45-XX) 5 Operator theory (47-XX) 5 Mechanics of deformable solids (74-XX) 4 Quantum theory (81-XX) 4 Astronomy and astrophysics (85-XX) 3 Real functions (26-XX) 3 Probability theory and stochastic processes (60-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Relativity and gravitational theory (83-XX) 2 Systems theory; control (93-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Geophysics (86-XX)