Edit Profile (opens in new tab) Cao, Chongsheng Compute Distance To: Compute Author ID: cao.chongsheng Published as: Cao, Chongsheng Documents Indexed: 39 Publications since 1999 Co-Authors: 21 Co-Authors with 36 Joint Publications 740 Co-Co-Authors all top 5 Co-Authors 1 single-authored 24 Titi, Edriss Saleh 10 Wu, Jiahong 5 Li, Jinkai 4 Adhikari, Dhanapati 3 Guo, Yanqiu 2 Farhat, Aseel 2 Rammaha, Mohammad A. 2 Xu, Xiaojing 1 Gal, Ciprian Gheorghe Sorin 1 Holm, Darryl D. 1 Ibrahim, Slim 1 Kang, Hao 1 Kevrekidis, Ioannis George 1 Lin, Quyuan 1 Nakanishi, Kenji 1 Qin, Junlin 1 Regmi, Dipendra 1 Shang, Haifeng 1 Ye, Zhuan 1 Yuan, Baoquan 1 Ziane, Mohammed all top 5 Serials 9 Journal of Differential Equations 3 Archive for Rational Mechanics and Analysis 3 Communications in Mathematical Physics 2 Communications on Pure and Applied Mathematics 2 Nonlinearity 2 Indiana University Mathematics Journal 2 Journal of Dynamics and Differential Equations 1 Journal of Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Advances in Mathematics 1 Journal of Functional Analysis 1 Siberian Mathematical Journal 1 Acta Mathematica Hungarica 1 Physica D 1 Communications in Partial Differential Equations 1 SIAM Journal on Mathematical Analysis 1 Discrete and Continuous Dynamical Systems 1 Journal of Mathematical Fluid Mechanics 1 Annals of Mathematics. Second Series 1 Journal of Evolution Equations 1 Communications in Information and Systems all top 5 Fields 37 Partial differential equations (35-XX) 30 Fluid mechanics (76-XX) 13 Geophysics (86-XX) 5 Dynamical systems and ergodic theory (37-XX) 2 Group theory and generalizations (20-XX) 1 Numerical analysis (65-XX) 1 Mechanics of deformable solids (74-XX) 1 Astronomy and astrophysics (85-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 34 Publications have been cited 1,700 times in 933 Documents Cited by ▼ Year ▼ Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion. Zbl 1213.35159Cao, Chongsheng; Wu, Jiahong 194 2011 Two regularity criteria for the 3D MHD equations. Zbl 1190.35046Cao, Chongsheng; Wu, Jiahong 167 2010 Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics. Zbl 1151.35074Cao, Chongsheng; Titi, Edriss S. 157 2007 Global regularity for the two-dimensional anisotropic Boussinesq equations with vertical dissipation. Zbl 1284.35140Cao, Chongsheng; Wu, Jiahong 111 2013 Regularity criteria for the three-dimensional Navier-Stokes equations. Zbl 1159.35053Cao, Chongsheng; Titi, Edriss S. 109 2008 Global regularity criterion for the 3D Navier-Stokes equations involving one entry of the velocity gradient tensor. Zbl 1256.35051Cao, Chongsheng; Titi, Edriss S. 97 2011 The 2D incompressible magnetohydrodynamics equations with only magnetic diffusion. Zbl 1293.35233Cao, Chongsheng; Wu, Jiahong; Yuan, Baoquan 84 2014 The 2D MHD equations with horizontal dissipation and horizontal magnetic diffusion. Zbl 1270.35143Cao, Chongsheng; Regmi, Dipendra; Wu, Jiahong 82 2013 Global regularity results for the 2D Boussinesq equations with vertical dissipation. Zbl 1232.35111Adhikari, Dhanapati; Cao, Chongsheng; Wu, Jiahong 68 2011 Traveling wave solutions for a class of one-dimensional nonlinear shallow water wave models. Zbl 1062.35080Cao, Chongsheng; Holm, Darryl D.; Titi, Edriss S. 64 2004 Global well-posedness and finite-dimensional global attractor for a 3-D planetary geostrophic viscous model. Zbl 1035.37043Cao, Chongsheng; Titi, Edriss S. 62 2003 The 2D Boussinesq equations with vertical viscosity and vertical diffusivity. Zbl 1193.35144Adhikari, Dhanapati; Cao, Chongsheng; Wu, Jiahong 57 2010 The Navier-Stokes equations on the rotating 2-D sphere: Gevrey regularity and asymptotic degrees of freedom. Zbl 0928.35120Cao, Chongsheng; Rammaha, Mohammad A.; Titi, Edriss S. 53 1999 Sufficient conditions for the regularity to the 3D Navier-Stokes equations. Zbl 1186.35136Cao, Chongsheng 47 2010 Global regularity results for the 2D Boussinesq equations with partial dissipation. Zbl 1328.35161Adhikari, Dhanapati; Cao, Chongsheng; Shang, Haifeng; Wu, Jiahong; Xu, Xiaojing; Ye, Zhuan 43 2016 Finite-time blowup for the inviscid primitive equations of oceanic and atmospheric dynamics. Zbl 1317.35262Cao, Chongsheng; Ibrahim, Slim; Nakanishi, Kenji; Titi, Edriss S. 39 2015 Global solutions for the 2D NS-CH model for a two-phase flow of viscous, incompressible fluids with mixed partial viscosity and mobility. Zbl 1259.35048Cao, Chongsheng; Gal, Ciprian G. 34 2012 Local and global well-posedness of strong solutions to the 3D primitive equations with vertical Eddy diffusivity. Zbl 1305.35113Cao, Chongsheng; Li, Jinkai; Titi, Edriss S. 32 2014 Global well-posedness of the \(3D\) primitive equations with partial vertical turbulence mixing heat diffusion. Zbl 1267.35157Cao, Chongsheng; Titi, Edriss S. 31 2012 Global well-posedness of the three-dimensional primitive equations with only horizontal viscosity and diffusion. Zbl 1351.35125Cao, Chongsheng; Li, Jinkai; Titi, Edriss S. 31 2016 Global well-posedness of strong solutions to the 3D primitive equations with horizontal eddy diffusivity. Zbl 1300.35089Cao, Chongsheng; Li, Jinkai; Titi, Edriss S. 29 2014 Small global solutions to the damped two-dimensional Boussinesq equations. Zbl 1290.35193Adhikari, Dhanapati; Cao, Chongsheng; Wu, Jiahong; Xu, Xiaojing 28 2014 Strong solutions to the 3D primitive equations with only horizontal dissipation: near \(H^{1}\) initial data. Zbl 1366.35123Cao, Chongsheng; Li, Jinkai; Titi, Edriss S. 19 2017 Gevrey regularity for nonlinear analytic parabolic equations on the sphere. Zbl 0967.35063Cao, Chongsheng; Rammaha, Mohammad A.; Titi, Edriss S. 15 2000 A ‘horizontal’ hyper-diffusion three-dimensonal thermocline planetary geostrophic model: well-posedness and long-time behaviour. Zbl 1070.35028Cao, Chongsheng; Titi, Edriss S.; Ziane, Mohammed 10 2004 Regularity criterion for solutions of three-dimensional turbulent channel flows. Zbl 1151.76012Cao, Chongsheng; Qin, Junlin; Titi, Edriss S. 10 2008 Numerical criterion for the stabilization of steady states of the Navier-Stokes equations. Zbl 0997.35048Cao, Chongsheng; Kevrekidis, Ioannis G.; Titi, Edriss S. 9 2001 Global well-posedness of an inviscid three-dimensional pseudo-Hasegawa-Mima model. Zbl 1308.35200Cao, Chongsheng; Farhat, Aseel; Titi, Edriss S. 7 2013 Asymptotic behavior of viscous 1-D scalar conservation laws with Neumann boundary conditions. Zbl 1026.35068Cao, Chongsheng; Titi, Edriss S. 3 2002 Global strong solutions for the three-dimensional Hasegawa-Mima model with partial dissipation. Zbl 1394.76053Cao, Chongsheng; Guo, Yanqiu; Titi, Edriss S. 2 2018 Global regularity theory for the incompressible magnetohydrodynamic type equations. Zbl 1296.35138Cao, Chongsheng; Wu, Jiahong 2 2012 On the well-posedness of reduced \(3D\) primitive geostrophic adjustment model with weak dissipation. Zbl 1440.35263Cao, Chongsheng; Lin, Quyuan; Titi, Edriss S. 2 2020 Global regularity for an inviscid three-dimensional slow limiting ocean dynamics model. Zbl 1305.35107Cao, Chongsheng; Farhat, Aseel; Titi, Edriss S. 1 2013 Global regularity for a rapidly rotating constrained convection model of tall columnar structure with weak dissipation. Zbl 1442.35055Cao, Chongsheng; Guo, Yanqiu; Titi, Edriss S. 1 2020 On the well-posedness of reduced \(3D\) primitive geostrophic adjustment model with weak dissipation. Zbl 1440.35263Cao, Chongsheng; Lin, Quyuan; Titi, Edriss S. 2 2020 Global regularity for a rapidly rotating constrained convection model of tall columnar structure with weak dissipation. Zbl 1442.35055Cao, Chongsheng; Guo, Yanqiu; Titi, Edriss S. 1 2020 Global strong solutions for the three-dimensional Hasegawa-Mima model with partial dissipation. Zbl 1394.76053Cao, Chongsheng; Guo, Yanqiu; Titi, Edriss S. 2 2018 Strong solutions to the 3D primitive equations with only horizontal dissipation: near \(H^{1}\) initial data. Zbl 1366.35123Cao, Chongsheng; Li, Jinkai; Titi, Edriss S. 19 2017 Global regularity results for the 2D Boussinesq equations with partial dissipation. Zbl 1328.35161Adhikari, Dhanapati; Cao, Chongsheng; Shang, Haifeng; Wu, Jiahong; Xu, Xiaojing; Ye, Zhuan 43 2016 Global well-posedness of the three-dimensional primitive equations with only horizontal viscosity and diffusion. Zbl 1351.35125Cao, Chongsheng; Li, Jinkai; Titi, Edriss S. 31 2016 Finite-time blowup for the inviscid primitive equations of oceanic and atmospheric dynamics. Zbl 1317.35262Cao, Chongsheng; Ibrahim, Slim; Nakanishi, Kenji; Titi, Edriss S. 39 2015 The 2D incompressible magnetohydrodynamics equations with only magnetic diffusion. Zbl 1293.35233Cao, Chongsheng; Wu, Jiahong; Yuan, Baoquan 84 2014 Local and global well-posedness of strong solutions to the 3D primitive equations with vertical Eddy diffusivity. Zbl 1305.35113Cao, Chongsheng; Li, Jinkai; Titi, Edriss S. 32 2014 Global well-posedness of strong solutions to the 3D primitive equations with horizontal eddy diffusivity. Zbl 1300.35089Cao, Chongsheng; Li, Jinkai; Titi, Edriss S. 29 2014 Small global solutions to the damped two-dimensional Boussinesq equations. Zbl 1290.35193Adhikari, Dhanapati; Cao, Chongsheng; Wu, Jiahong; Xu, Xiaojing 28 2014 Global regularity for the two-dimensional anisotropic Boussinesq equations with vertical dissipation. Zbl 1284.35140Cao, Chongsheng; Wu, Jiahong 111 2013 The 2D MHD equations with horizontal dissipation and horizontal magnetic diffusion. Zbl 1270.35143Cao, Chongsheng; Regmi, Dipendra; Wu, Jiahong 82 2013 Global well-posedness of an inviscid three-dimensional pseudo-Hasegawa-Mima model. Zbl 1308.35200Cao, Chongsheng; Farhat, Aseel; Titi, Edriss S. 7 2013 Global regularity for an inviscid three-dimensional slow limiting ocean dynamics model. Zbl 1305.35107Cao, Chongsheng; Farhat, Aseel; Titi, Edriss S. 1 2013 Global solutions for the 2D NS-CH model for a two-phase flow of viscous, incompressible fluids with mixed partial viscosity and mobility. Zbl 1259.35048Cao, Chongsheng; Gal, Ciprian G. 34 2012 Global well-posedness of the \(3D\) primitive equations with partial vertical turbulence mixing heat diffusion. Zbl 1267.35157Cao, Chongsheng; Titi, Edriss S. 31 2012 Global regularity theory for the incompressible magnetohydrodynamic type equations. Zbl 1296.35138Cao, Chongsheng; Wu, Jiahong 2 2012 Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion. Zbl 1213.35159Cao, Chongsheng; Wu, Jiahong 194 2011 Global regularity criterion for the 3D Navier-Stokes equations involving one entry of the velocity gradient tensor. Zbl 1256.35051Cao, Chongsheng; Titi, Edriss S. 97 2011 Global regularity results for the 2D Boussinesq equations with vertical dissipation. Zbl 1232.35111Adhikari, Dhanapati; Cao, Chongsheng; Wu, Jiahong 68 2011 Two regularity criteria for the 3D MHD equations. Zbl 1190.35046Cao, Chongsheng; Wu, Jiahong 167 2010 The 2D Boussinesq equations with vertical viscosity and vertical diffusivity. Zbl 1193.35144Adhikari, Dhanapati; Cao, Chongsheng; Wu, Jiahong 57 2010 Sufficient conditions for the regularity to the 3D Navier-Stokes equations. Zbl 1186.35136Cao, Chongsheng 47 2010 Regularity criteria for the three-dimensional Navier-Stokes equations. Zbl 1159.35053Cao, Chongsheng; Titi, Edriss S. 109 2008 Regularity criterion for solutions of three-dimensional turbulent channel flows. Zbl 1151.76012Cao, Chongsheng; Qin, Junlin; Titi, Edriss S. 10 2008 Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics. Zbl 1151.35074Cao, Chongsheng; Titi, Edriss S. 157 2007 Traveling wave solutions for a class of one-dimensional nonlinear shallow water wave models. Zbl 1062.35080Cao, Chongsheng; Holm, Darryl D.; Titi, Edriss S. 64 2004 A ‘horizontal’ hyper-diffusion three-dimensonal thermocline planetary geostrophic model: well-posedness and long-time behaviour. Zbl 1070.35028Cao, Chongsheng; Titi, Edriss S.; Ziane, Mohammed 10 2004 Global well-posedness and finite-dimensional global attractor for a 3-D planetary geostrophic viscous model. Zbl 1035.37043Cao, Chongsheng; Titi, Edriss S. 62 2003 Asymptotic behavior of viscous 1-D scalar conservation laws with Neumann boundary conditions. Zbl 1026.35068Cao, Chongsheng; Titi, Edriss S. 3 2002 Numerical criterion for the stabilization of steady states of the Navier-Stokes equations. Zbl 0997.35048Cao, Chongsheng; Kevrekidis, Ioannis G.; Titi, Edriss S. 9 2001 Gevrey regularity for nonlinear analytic parabolic equations on the sphere. Zbl 0967.35063Cao, Chongsheng; Rammaha, Mohammad A.; Titi, Edriss S. 15 2000 The Navier-Stokes equations on the rotating 2-D sphere: Gevrey regularity and asymptotic degrees of freedom. Zbl 0928.35120Cao, Chongsheng; Rammaha, Mohammad A.; Titi, Edriss S. 53 1999 all cited Publications top 5 cited Publications all top 5 Cited by 813 Authors 46 Wu, Jiahong 38 Titi, Edriss Saleh 28 Tachim Medjo, Theodore 27 Zhang, Zujin 26 Xu, Xiaojing 25 Yamazaki, Kazuo 20 Ye, Zhuan 19 Gala, Sadek 19 Temam, Roger Meyer 18 Cao, Chongsheng 18 Nguyen Huy Tuan 16 Ragusa, Maria Alessandra 16 You, Bo 15 Yuan, Baoquan 14 Dong, Boqing 14 Himonas, A. Alexandrou 14 Liu, Qiao 14 Skalák, Zdeněk 14 Zhou, Yong 13 Guo, Zhengguang 13 Liu, Yue 11 He, Yinnian 11 Jiu, Quansen 11 Li, Jinkai 11 Qu, Changzheng 11 Wang, Yinxia 11 Wang, Yuzhu 11 Zhai, Xiaoping 10 Gao, Hongjun 10 Hieber, Matthias 10 Qian, Chenyin 10 Shang, Haifeng 10 Wang, Shu 9 Au, Vo Van 9 Kukavica, Igor 9 Li, Shan 9 Zhang, Zhifei 8 Glatt-Holtz, Nathan E. 8 Guo, Boling 8 Jia, Yan 8 Li, Yongsheng 8 Ma, Liangliang 8 Yu, Xinwei 7 Can, Nguyen Huu 7 Fan, Jishan 7 Gal, Ciprian Gheorghe Sorin 7 Hussein, Amru 7 Kashiwabara, Takahito 7 Lin, Hongxia 7 Liu, Jitao 7 Yao, Zhengan 7 Zhang, Ping 7 Zhang, Ting 6 Jia, Xuanji 6 Li, Fang 6 Liu, Xiaochuan 6 Xu, Fuyi 6 Zhang, Guodong 6 Zhao, Kun 6 Zhu, Mingxuan 5 Bian, Dongfen 5 Biswas, Animikh 5 Giga, Yoshikazu 5 Guo, Fei 5 Ji, Ruihong 5 Jiang, Zaihong 5 Larios, Adam 5 Lei, Zhen 5 Lunasin, Evelyn M. 5 Miranville, Alain M. 5 Nakamura, Gen 5 Neustupa, Jiří 5 Petronilho, Gerson 5 Tang, Tong 5 Tran, Chuong V. 5 Wang, Wendong 5 Wu, Fan 5 Xiang, Zhaoyin 5 Yan, Wei 5 Yu, Yanghai 5 Zajączkowski, Wojciech M. 5 Zhang, Jianwen 5 Zhang, Rangrang 5 Zhong, Dingxing 5 Zhu, Ning 5 Ziane, Mohammed 4 Barostichi, Rafael F. 4 Fang, Daoyuan 4 Farhat, Aseel 4 Fu, Ying 4 Grasselli, Maurizio 4 Gui, Guilong 4 Holliman, Curtis 4 Hu, Weiwei 4 Huang, Daiwen 4 Ibrahim, Slim 4 Lai, Suhua 4 Li, Fucai 4 Lu, Ming 4 Ma, Caochuan ...and 713 more Authors all top 5 Cited in 161 Serials 73 Journal of Differential Equations 72 Journal of Mathematical Analysis and Applications 43 ZAMP. Zeitschrift für angewandte Mathematik und Physik 41 Journal of Mathematical Fluid Mechanics 40 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 40 Nonlinear Analysis. Real World Applications 35 Journal of Mathematical Physics 34 Applied Mathematics Letters 29 Discrete and Continuous Dynamical Systems 24 Computers & Mathematics with Applications 21 Mathematical Methods in the Applied Sciences 20 Archive for Rational Mechanics and Analysis 18 Journal of Nonlinear Science 17 Communications on Pure and Applied Analysis 16 Applicable Analysis 16 SIAM Journal on Mathematical Analysis 14 Abstract and Applied Analysis 13 Communications in Mathematical Physics 13 Nonlinearity 13 Boundary Value Problems 12 Journal of Functional Analysis 12 Acta Applicandae Mathematicae 12 Physica D 12 Discrete and Continuous Dynamical Systems. Series B 10 Journal of Evolution Equations 9 Applied Mathematics and Computation 7 Chinese Annals of Mathematics. Series B 7 Science China. Mathematics 6 Advances in Mathematics 6 Applied Mathematics and Optimization 6 Journal de Mathématiques Pures et Appliquées. Neuvième Série 6 Calculus of Variations and Partial Differential Equations 6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Annales Polonici Mathematici 5 Stochastic Analysis and Applications 5 Analysis and Applications (Singapore) 5 Kinetic and Related Models 5 Evolution Equations and Control Theory 4 Journal of Statistical Physics 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Numerische Mathematik 4 SIAM Journal on Numerical Analysis 4 Applied Numerical Mathematics 4 Journal of Scientific Computing 4 Applications of Mathematics 4 Discrete and Continuous Dynamical Systems. Series S 4 Electronic Research Archive 3 Computer Methods in Applied Mechanics and Engineering 3 Communications on Pure and Applied Mathematics 3 Journal of Computational and Applied Mathematics 3 Results in Mathematics 3 Acta Mathematicae Applicatae Sinica. English Series 3 Communications in Partial Differential Equations 3 Journal of Dynamics and Differential Equations 3 Acta Mathematica Sinica. English Series 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Stochastics and Dynamics 3 Bulletin of the Brazilian Mathematical Society. New Series 3 Frontiers of Mathematics in China 3 Journal of Function Spaces 2 Journal of Computational Physics 2 Journal of Fluid Mechanics 2 Proceedings of the American Mathematical Society 2 SIAM Journal on Control and Optimization 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Asymptotic Analysis 2 Geometric and Functional Analysis. GAFA 2 Stochastic Processes and their Applications 2 SIAM Journal on Scientific Computing 2 Doklady Mathematics 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Mathematical Physics, Analysis and Geometry 2 Journal of Inequalities and Applications 2 Communications in Contemporary Mathematics 2 Acta Mathematica Scientia. Series B. (English Edition) 2 Mediterranean Journal of Mathematics 2 Analysis & PDE 2 Differential Equations and Applications 2 Advances in Mathematical Physics 2 Journal of Geometric Mechanics 2 Stochastic and Partial Differential Equations. Analysis and Computations 2 Advances in Nonlinear Analysis 2 Annals of PDE 2 Mathematics of Climate and Weather Forecasting 2 AIMS Mathematics 1 Journal d’Analyse Mathématique 1 Mathematical Notes 1 Rocky Mountain Journal of Mathematics 1 Mathematics of Computation 1 Chaos, Solitons and Fractals 1 Journal of Geometry and Physics 1 Archiv der Mathematik 1 Indiana University Mathematics Journal 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Numerical Functional Analysis and Optimization 1 Osaka Journal of Mathematics 1 Pacific Journal of Mathematics ...and 61 more Serials all top 5 Cited in 33 Fields 866 Partial differential equations (35-XX) 699 Fluid mechanics (76-XX) 142 Geophysics (86-XX) 68 Dynamical systems and ergodic theory (37-XX) 45 Numerical analysis (65-XX) 44 Probability theory and stochastic processes (60-XX) 37 Harmonic analysis on Euclidean spaces (42-XX) 24 Real functions (26-XX) 19 Operator theory (47-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 18 Systems theory; control (93-XX) 12 Ordinary differential equations (34-XX) 12 Classical thermodynamics, heat transfer (80-XX) 8 Optics, electromagnetic theory (78-XX) 5 Integral equations (45-XX) 5 Functional analysis (46-XX) 3 Functions of a complex variable (30-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Mechanics of deformable solids (74-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Astronomy and astrophysics (85-XX) 3 Biology and other natural sciences (92-XX) 2 Measure and integration (28-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 2 Approximations and expansions (41-XX) 2 Differential geometry (53-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year