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Author ID: cao.chongsheng Recent zbMATH articles by "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

Publications by Year

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 1213.35159
Cao, Chongsheng; Wu, Jiahong
194
2011
Two regularity criteria for the 3D MHD equations. Zbl 1190.35046
Cao, Chongsheng; Wu, Jiahong
167
2010
Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics. Zbl 1151.35074
Cao, Chongsheng; Titi, Edriss S.
157
2007
Global regularity for the two-dimensional anisotropic Boussinesq equations with vertical dissipation. Zbl 1284.35140
Cao, Chongsheng; Wu, Jiahong
111
2013
Regularity criteria for the three-dimensional Navier-Stokes equations. Zbl 1159.35053
Cao, Chongsheng; Titi, Edriss S.
109
2008
Global regularity criterion for the 3D Navier-Stokes equations involving one entry of the velocity gradient tensor. Zbl 1256.35051
Cao, Chongsheng; Titi, Edriss S.
97
2011
The 2D incompressible magnetohydrodynamics equations with only magnetic diffusion. Zbl 1293.35233
Cao, Chongsheng; Wu, Jiahong; Yuan, Baoquan
84
2014
The 2D MHD equations with horizontal dissipation and horizontal magnetic diffusion. Zbl 1270.35143
Cao, Chongsheng; Regmi, Dipendra; Wu, Jiahong
82
2013
Global regularity results for the 2D Boussinesq equations with vertical dissipation. Zbl 1232.35111
Adhikari, Dhanapati; Cao, Chongsheng; Wu, Jiahong
68
2011
Traveling wave solutions for a class of one-dimensional nonlinear shallow water wave models. Zbl 1062.35080
Cao, 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 1035.37043
Cao, Chongsheng; Titi, Edriss S.
62
2003
The 2D Boussinesq equations with vertical viscosity and vertical diffusivity. Zbl 1193.35144
Adhikari, 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 0928.35120
Cao, Chongsheng; Rammaha, Mohammad A.; Titi, Edriss S.
53
1999
Sufficient conditions for the regularity to the 3D Navier-Stokes equations. Zbl 1186.35136
Cao, Chongsheng
47
2010
Global regularity results for the 2D Boussinesq equations with partial dissipation. Zbl 1328.35161
Adhikari, 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 1317.35262
Cao, 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 1259.35048
Cao, Chongsheng; Gal, Ciprian G.
34
2012
Local and global well-posedness of strong solutions to the 3D primitive equations with vertical Eddy diffusivity. Zbl 1305.35113
Cao, Chongsheng; Li, Jinkai; Titi, Edriss S.
32
2014
Global well-posedness of the \(3D\) primitive equations with partial vertical turbulence mixing heat diffusion. Zbl 1267.35157
Cao, Chongsheng; Titi, Edriss S.
31
2012
Global well-posedness of the three-dimensional primitive equations with only horizontal viscosity and diffusion. Zbl 1351.35125
Cao, Chongsheng; Li, Jinkai; Titi, Edriss S.
31
2016
Global well-posedness of strong solutions to the 3D primitive equations with horizontal eddy diffusivity. Zbl 1300.35089
Cao, Chongsheng; Li, Jinkai; Titi, Edriss S.
29
2014
Small global solutions to the damped two-dimensional Boussinesq equations. Zbl 1290.35193
Adhikari, 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 1366.35123
Cao, Chongsheng; Li, Jinkai; Titi, Edriss S.
19
2017
Gevrey regularity for nonlinear analytic parabolic equations on the sphere. Zbl 0967.35063
Cao, 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 1070.35028
Cao, Chongsheng; Titi, Edriss S.; Ziane, Mohammed
10
2004
Regularity criterion for solutions of three-dimensional turbulent channel flows. Zbl 1151.76012
Cao, Chongsheng; Qin, Junlin; Titi, Edriss S.
10
2008
Numerical criterion for the stabilization of steady states of the Navier-Stokes equations. Zbl 0997.35048
Cao, Chongsheng; Kevrekidis, Ioannis G.; Titi, Edriss S.
9
2001
Global well-posedness of an inviscid three-dimensional pseudo-Hasegawa-Mima model. Zbl 1308.35200
Cao, Chongsheng; Farhat, Aseel; Titi, Edriss S.
7
2013
Asymptotic behavior of viscous 1-D scalar conservation laws with Neumann boundary conditions. Zbl 1026.35068
Cao, Chongsheng; Titi, Edriss S.
3
2002
Global strong solutions for the three-dimensional Hasegawa-Mima model with partial dissipation. Zbl 1394.76053
Cao, Chongsheng; Guo, Yanqiu; Titi, Edriss S.
2
2018
Global regularity theory for the incompressible magnetohydrodynamic type equations. Zbl 1296.35138
Cao, Chongsheng; Wu, Jiahong
2
2012
On the well-posedness of reduced \(3D\) primitive geostrophic adjustment model with weak dissipation. Zbl 1440.35263
Cao, Chongsheng; Lin, Quyuan; Titi, Edriss S.
2
2020
Global regularity for an inviscid three-dimensional slow limiting ocean dynamics model. Zbl 1305.35107
Cao, 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 1442.35055
Cao, Chongsheng; Guo, Yanqiu; Titi, Edriss S.
1
2020
On the well-posedness of reduced \(3D\) primitive geostrophic adjustment model with weak dissipation. Zbl 1440.35263
Cao, 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 1442.35055
Cao, Chongsheng; Guo, Yanqiu; Titi, Edriss S.
1
2020
Global strong solutions for the three-dimensional Hasegawa-Mima model with partial dissipation. Zbl 1394.76053
Cao, 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 1366.35123
Cao, Chongsheng; Li, Jinkai; Titi, Edriss S.
19
2017
Global regularity results for the 2D Boussinesq equations with partial dissipation. Zbl 1328.35161
Adhikari, 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 1351.35125
Cao, Chongsheng; Li, Jinkai; Titi, Edriss S.
31
2016
Finite-time blowup for the inviscid primitive equations of oceanic and atmospheric dynamics. Zbl 1317.35262
Cao, Chongsheng; Ibrahim, Slim; Nakanishi, Kenji; Titi, Edriss S.
39
2015
The 2D incompressible magnetohydrodynamics equations with only magnetic diffusion. Zbl 1293.35233
Cao, 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 1305.35113
Cao, Chongsheng; Li, Jinkai; Titi, Edriss S.
32
2014
Global well-posedness of strong solutions to the 3D primitive equations with horizontal eddy diffusivity. Zbl 1300.35089
Cao, Chongsheng; Li, Jinkai; Titi, Edriss S.
29
2014
Small global solutions to the damped two-dimensional Boussinesq equations. Zbl 1290.35193
Adhikari, Dhanapati; Cao, Chongsheng; Wu, Jiahong; Xu, Xiaojing
28
2014
Global regularity for the two-dimensional anisotropic Boussinesq equations with vertical dissipation. Zbl 1284.35140
Cao, Chongsheng; Wu, Jiahong
111
2013
The 2D MHD equations with horizontal dissipation and horizontal magnetic diffusion. Zbl 1270.35143
Cao, Chongsheng; Regmi, Dipendra; Wu, Jiahong
82
2013
Global well-posedness of an inviscid three-dimensional pseudo-Hasegawa-Mima model. Zbl 1308.35200
Cao, Chongsheng; Farhat, Aseel; Titi, Edriss S.
7
2013
Global regularity for an inviscid three-dimensional slow limiting ocean dynamics model. Zbl 1305.35107
Cao, 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 1259.35048
Cao, Chongsheng; Gal, Ciprian G.
34
2012
Global well-posedness of the \(3D\) primitive equations with partial vertical turbulence mixing heat diffusion. Zbl 1267.35157
Cao, Chongsheng; Titi, Edriss S.
31
2012
Global regularity theory for the incompressible magnetohydrodynamic type equations. Zbl 1296.35138
Cao, Chongsheng; Wu, Jiahong
2
2012
Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion. Zbl 1213.35159
Cao, Chongsheng; Wu, Jiahong
194
2011
Global regularity criterion for the 3D Navier-Stokes equations involving one entry of the velocity gradient tensor. Zbl 1256.35051
Cao, Chongsheng; Titi, Edriss S.
97
2011
Global regularity results for the 2D Boussinesq equations with vertical dissipation. Zbl 1232.35111
Adhikari, Dhanapati; Cao, Chongsheng; Wu, Jiahong
68
2011
Two regularity criteria for the 3D MHD equations. Zbl 1190.35046
Cao, Chongsheng; Wu, Jiahong
167
2010
The 2D Boussinesq equations with vertical viscosity and vertical diffusivity. Zbl 1193.35144
Adhikari, Dhanapati; Cao, Chongsheng; Wu, Jiahong
57
2010
Sufficient conditions for the regularity to the 3D Navier-Stokes equations. Zbl 1186.35136
Cao, Chongsheng
47
2010
Regularity criteria for the three-dimensional Navier-Stokes equations. Zbl 1159.35053
Cao, Chongsheng; Titi, Edriss S.
109
2008
Regularity criterion for solutions of three-dimensional turbulent channel flows. Zbl 1151.76012
Cao, 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 1151.35074
Cao, Chongsheng; Titi, Edriss S.
157
2007
Traveling wave solutions for a class of one-dimensional nonlinear shallow water wave models. Zbl 1062.35080
Cao, 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 1070.35028
Cao, 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 1035.37043
Cao, Chongsheng; Titi, Edriss S.
62
2003
Asymptotic behavior of viscous 1-D scalar conservation laws with Neumann boundary conditions. Zbl 1026.35068
Cao, Chongsheng; Titi, Edriss S.
3
2002
Numerical criterion for the stabilization of steady states of the Navier-Stokes equations. Zbl 0997.35048
Cao, Chongsheng; Kevrekidis, Ioannis G.; Titi, Edriss S.
9
2001
Gevrey regularity for nonlinear analytic parabolic equations on the sphere. Zbl 0967.35063
Cao, 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 0928.35120
Cao, Chongsheng; Rammaha, Mohammad A.; Titi, Edriss S.
53
1999
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

Citations by Year