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Cao, Chongsheng

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Author ID: cao.chongsheng Recent zbMATH articles by "Cao, Chongsheng"
Published as: Cao, C.; Cao, Chongsheng
Documents Indexed: 36 Publications since 1999

Publications by Year

Citations contained in zbMATH

32 Publications have been cited 1,425 times in 790 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
163
2011
Two regularity criteria for the 3D MHD equations. Zbl 1190.35046
Cao, Chongsheng; Wu, Jiahong
148
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.
131
2007
Regularity criteria for the three-dimensional Navier-Stokes equations. Zbl 1159.35053
Cao, Chongsheng; Titi, Edriss S.
102
2008
Global regularity for the two-dimensional anisotropic Boussinesq equations with vertical dissipation. Zbl 1284.35140
Cao, Chongsheng; Wu, Jiahong
88
2013
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.
86
2011
The 2D incompressible magnetohydrodynamics equations with only magnetic diffusion. Zbl 1293.35233
Cao, Chongsheng; Wu, Jiahong; Yuan, Baoquan
70
2014
The 2D MHD equations with horizontal dissipation and horizontal magnetic diffusion. Zbl 1270.35143
Cao, Chongsheng; Regmi, Dipendra; Wu, Jiahong
68
2013
Global regularity results for the 2D Boussinesq equations with vertical dissipation. Zbl 1232.35111
Adhikari, Dhanapati; Cao, Chongsheng; Wu, Jiahong
60
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.
54
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.
52
2003
The 2D Boussinesq equations with vertical viscosity and vertical diffusivity. Zbl 1193.35144
Adhikari, Dhanapati; Cao, Chongsheng; Wu, Jiahong
48
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.
45
1999
Sufficient conditions for the regularity to the 3D Navier-Stokes equations. Zbl 1186.35136
Cao, Chongsheng
39
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
33
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.
29
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.
26
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.
24
2014
Global well-posedness of the \(3D\) primitive equations with partial vertical turbulence mixing heat diffusion. Zbl 1267.35157
Cao, Chongsheng; Titi, Edriss S.
23
2012
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.
22
2014
Small global solutions to the damped two-dimensional Boussinesq equations. Zbl 1290.35193
Adhikari, Dhanapati; Cao, Chongsheng; Wu, Jiahong; Xu, Xiaojing
21
2014
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.
19
2016
Gevrey regularity for nonlinear analytic parabolic equations on the sphere. Zbl 0967.35063
Cao, Chongsheng; Rammaha, Mohammad A.; Titi, Edriss S.
15
2000
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.
10
2017
Regularity criterion for solutions of three-dimensional turbulent channel flows. Zbl 1151.76012
Cao, Chongsheng; Qin, Junlin; Titi, Edriss S.
10
2008
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
9
2004
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
A new hybrid finite element approach for three-dimensional elastic problems. Zbl 1291.74175
Cao, C.; Qin, Q.-H.; Yu, A.
8
2012
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 regularity theory for the incompressible magnetohydrodynamic type equations. Zbl 1296.35138
Cao, Chongsheng; Wu, Jiahong
2
2012
Global strong solutions for the three-dimensional Hasegawa-Mima model with partial dissipation. Zbl 1394.76053
Cao, Chongsheng; Guo, Yanqiu; Titi, Edriss S.
1
2018
Global strong solutions for the three-dimensional Hasegawa-Mima model with partial dissipation. Zbl 1394.76053
Cao, Chongsheng; Guo, Yanqiu; Titi, Edriss S.
1
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.
10
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
33
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.
19
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.
29
2015
The 2D incompressible magnetohydrodynamics equations with only magnetic diffusion. Zbl 1293.35233
Cao, Chongsheng; Wu, Jiahong; Yuan, Baoquan
70
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.
24
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.
22
2014
Small global solutions to the damped two-dimensional Boussinesq equations. Zbl 1290.35193
Adhikari, Dhanapati; Cao, Chongsheng; Wu, Jiahong; Xu, Xiaojing
21
2014
Global regularity for the two-dimensional anisotropic Boussinesq equations with vertical dissipation. Zbl 1284.35140
Cao, Chongsheng; Wu, Jiahong
88
2013
The 2D MHD equations with horizontal dissipation and horizontal magnetic diffusion. Zbl 1270.35143
Cao, Chongsheng; Regmi, Dipendra; Wu, Jiahong
68
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 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.
26
2012
Global well-posedness of the \(3D\) primitive equations with partial vertical turbulence mixing heat diffusion. Zbl 1267.35157
Cao, Chongsheng; Titi, Edriss S.
23
2012
A new hybrid finite element approach for three-dimensional elastic problems. Zbl 1291.74175
Cao, C.; Qin, Q.-H.; Yu, A.
8
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
163
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.
86
2011
Global regularity results for the 2D Boussinesq equations with vertical dissipation. Zbl 1232.35111
Adhikari, Dhanapati; Cao, Chongsheng; Wu, Jiahong
60
2011
Two regularity criteria for the 3D MHD equations. Zbl 1190.35046
Cao, Chongsheng; Wu, Jiahong
148
2010
The 2D Boussinesq equations with vertical viscosity and vertical diffusivity. Zbl 1193.35144
Adhikari, Dhanapati; Cao, Chongsheng; Wu, Jiahong
48
2010
Sufficient conditions for the regularity to the 3D Navier-Stokes equations. Zbl 1186.35136
Cao, Chongsheng
39
2010
Regularity criteria for the three-dimensional Navier-Stokes equations. Zbl 1159.35053
Cao, Chongsheng; Titi, Edriss S.
102
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.
131
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.
54
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
9
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.
52
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.
45
1999
all top 5

Cited by 741 Authors

36 Wu, Jiahong
33 Titi, Edriss Saleh
29 Ye, Zhuan
28 Tachim Medjo, Theodore
25 Zhang, Zujin
23 Yamazaki, Kazuo
19 Xu, Xiaojing
18 Cao, Chongsheng
17 Temam, Roger Meyer
15 Gala, Sadek
14 Liu, Qiao
14 Nguyen Huy Tuan
13 Himonas, A. Alexandrou
13 Ragusa, Maria Alessandra
12 Skalák, Zdeněk
12 Zhou, Yong
11 Guo, Zhengguang
11 Liu, Yue
11 You, Bo
11 Yuan, Baoquan
11 Zhai, Xiaoping
10 He, Yinnian
10 Jiu, Quansen
10 Li, Jinkai
10 Qu, Changzheng
10 Zhang, Zhifei
9 Gao, Hongjun
9 Kukavica, Igor
9 Li, Shan
9 Wang, Shu
9 Wang, Yinxia
8 Au, Vo Van
8 Dong, Boqing
8 Glatt-Holtz, Nathan E.
8 Hieber, Matthias
8 Li, Yongsheng
8 Qian, Chenyin
8 Shang, Haifeng
8 Wang, Yuzhu
8 Yu, Xinwei
7 Fan, Jishan
7 Gal, Ciprian Gheorghe Sorin
7 Guo, Boling
7 Li, Fang
7 Lin, Hongxia
6 Jia, Xuanji
6 Liu, Jitao
6 Ma, Liangliang
6 Yao, Zhengan
6 Zhang, Guodong
6 Zhang, Ping
6 Zhang, Ting
6 Zhu, Mingxuan
5 Bian, Dongfen
5 Can, Nguyen Huu
5 Hussein, Amru
5 Ji, Ruihong
5 Jia, Yan
5 Kashiwabara, Takahito
5 Larios, Adam
5 Lei, Zhen
5 Liu, Xiaochuan
5 Lunasin, Evelyn M.
5 Nakamura, Gen
5 Petcu, Madalina
5 Petronilho, Gerson
5 Tran, Chuong V.
5 Wang, Wendong
5 Xiang, Zhaoyin
5 Xu, Fuyi
5 Yan, Wei
5 Ye, Zhuan
5 Zajączkowski, Wojciech M.
5 Zhong, Dingxing
5 Ziane, Mohammed
4 Adhikari, Dhanapati
4 Barostichi, Rafael F.
4 Biswas, Animikh
4 Fang, Daoyuan
4 Farhat, Aseel
4 Fu, Ying
4 Grasselli, Maurizio
4 Gui, Guilong
4 Guo, Fei
4 Hu, Weiwei
4 Huang, Daiwen
4 Jiang, Zaihong
4 Kobel’kov, Georgiĭ Mikhaĭlovich
4 Li, Fucai
4 Lu, Ming
4 Miranville, Alain M.
4 Pokorný, Milan
4 Qin, Yuming
4 Sun, Chengfeng
4 Tan, Zhong
4 Tang, Tong
4 Wang, Cheng
4 Yang, Jinjin
4 Ye, Xia
4 Yu, Yanghai
...and 641 more Authors
all top 5

Cited in 144 Serials

72 Journal of Mathematical Analysis and Applications
63 Journal of Differential Equations
38 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
38 Nonlinear Analysis. Real World Applications
31 Journal of Mathematical Physics
30 Journal of Mathematical Fluid Mechanics
28 Applied Mathematics Letters
25 Computers & Mathematics with Applications
24 ZAMP. Zeitschrift für angewandte Mathematik und Physik
23 Discrete and Continuous Dynamical Systems
21 Mathematical Methods in the Applied Sciences
17 Archive for Rational Mechanics and Analysis
15 Applicable Analysis
14 SIAM Journal on Mathematical Analysis
14 Abstract and Applied Analysis
13 Communications in Mathematical Physics
13 Communications on Pure and Applied Analysis
12 Journal of Nonlinear Science
11 Journal of Functional Analysis
10 Acta Applicandae Mathematicae
10 Physica D
10 Boundary Value Problems
9 Discrete and Continuous Dynamical Systems. Series B
8 Nonlinearity
8 Applied Mathematics and Computation
7 Chinese Annals of Mathematics. Series B
7 Journal de Mathématiques Pures et Appliquées. Neuvième Série
6 Advances in Mathematics
6 Science China. Mathematics
5 Annales Polonici Mathematici
5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
5 Analysis and Applications (Singapore)
5 Kinetic and Related Models
4 Journal of Statistical Physics
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Applied Mathematics and Optimization
4 Numerische Mathematik
4 SIAM Journal on Numerical Analysis
4 Stochastic Analysis and Applications
4 Journal of Scientific Computing
4 Discrete and Continuous Dynamical Systems. Series S
3 Computer Methods in Applied Mechanics and Engineering
3 Communications on Pure and Applied Mathematics
3 Journal of Computational and Applied Mathematics
3 Applied Numerical Mathematics
3 Applications of Mathematics
3 Communications in Partial Differential Equations
3 Journal of Evolution Equations
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Stochastics and Dynamics
3 Bulletin of the Brazilian Mathematical Society. New Series
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 Acta Mathematicae Applicatae Sinica. English Series
2 Computational Mechanics
2 Geometric and Functional Analysis. GAFA
2 Journal of Dynamics and Differential Equations
2 SIAM Journal on Scientific Computing
2 Calculus of Variations and Partial Differential Equations
2 Engineering Analysis with Boundary Elements
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 Acta Mathematica Sinica. English Series
2 Communications in Contemporary Mathematics
2 Acta Mathematica Scientia. Series B. (English Edition)
2 Mediterranean Journal of Mathematics
2 Frontiers of Mathematics in China
2 Analysis & PDE
2 Differential Equations and Applications
2 Advances in Mathematical Physics
2 Journal of Geometric Mechanics
2 Evolution Equations and Control Theory
2 Advances in Nonlinear Analysis
2 Journal of Function Spaces
2 Mathematics of Climate and Weather Forecasting
1 Acta Mechanica
1 Journal d’Analyse Mathématique
1 Mathematical Notes
1 Rocky Mountain Journal of Mathematics
1 Mathematics of Computation
1 Journal of Geometry and Physics
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
1 Results in Mathematics
1 Ricerche di Matematica
1 Studies in Applied Mathematics
1 Tokyo Journal of Mathematics
1 Transactions of the Moscow Mathematical Society
1 Systems & Control Letters
1 Bulletin of the Korean Mathematical Society
...and 44 more Serials

Citations by Year