Chongsheng Cao

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All published works

Action	Title	Year	Authors
+ PDF Chat	Global well-posedness of the 3D primitive equations with horizontal viscosity and vertical diffusivity II: close to $H^1$ initial data	2024	Chongsheng Cao Jinkai Li Edriss S. Titi Dong Wang
+ PDF Chat	Global well-posedness of 2D chemotaxis Euler fluid systems	2021	Chongsheng Cao Hao Kang
+ PDF Chat	Global well-posedness for a rapidly rotating convection model of tall columnar structure in the limit of infinite Prandtl number	2020	Chongsheng Cao Yanqiu Guo Edriss S. Titi
+ PDF Chat	Global well-posedness of the 3D primitive equations with horizontal viscosity and vertical diffusivity	2020	Chongsheng Cao Jinkai Li Edriss S. Titi
+	Global regularity for a rapidly rotating constrained convection model of tall columnar structure with weak dissipation	2020	Chongsheng Cao Yanqiu Guo Edriss S. Titi
+ PDF Chat	On the Well-Posedness of Reduced 3D Primitive Geostrophic Adjustment Model with Weak Dissipation	2020	Chongsheng Cao Quyuan Lin Edriss S. Titi
+	Global well-posedness for a rapidly rotating convection model of tall columnar structure in the limit of infinite Prandtl number	2020	Chongsheng Cao Yanqiu Guo Edriss S. Titi
+ PDF Chat	Regularity “in Large” for the 3<i>D</i>Salmon’s Planetary Geostrophic Model of Ocean Dynamics	2020	Chongsheng Cao Edriss S. Titi
+ PDF Chat	Global strong solutions for the three-dimensional Hasegawa-Mima model with partial dissipation	2018	Chongsheng Cao Yanqiu Guo Edriss S. Titi
+	Global regularity for a rapidly rotating constrained convection model of tall columnar structure with weak dissipation	2018	Chongsheng Cao Yanqiu Guo Edriss S. Titi
+	Strong solutions to the 3D primitive equations with only horizontal dissipation: Near H1 initial data	2017	Chongsheng Cao Jinkai Li Edriss S. Titi
+	Global well-posedness of the 3D primitive equations with horizontal viscosity and vertical diffusivity	2017	Chongsheng Cao Jinkai Li Edriss S. Titi
+	Strong solutions to the 3D primitive equations with only horizontal dissipation: near $H^1$ initial data	2016	Chongsheng Cao Jinkai Li Edriss S. Titi
+	Global regularity results for the 2D Boussinesq equations with partial dissipation	2015	Dhanapati Adhikari Chongsheng Cao Haifeng Shang Jiahong Wu Xiaojing Xu Zhuan Ye
+ PDF Chat	Global Well‐Posedness of the Three‐Dimensional Primitive Equations with Only Horizontal Viscosity and Diffusion	2015	Chongsheng Cao Jinkai Li Edriss S. Titi
+ PDF Chat	Finite-Time Blowup for the Inviscid Primitive Equations of Oceanic and Atmospheric Dynamics	2015	Chongsheng Cao Slim Ibrahim Kenji Nakanishi Edriss S. Titi
+	Global well-posedness of strong solutions to the 3D primitive equations with horizontal eddy diffusivity	2014	Chongsheng Cao Jinkai Li Edriss S. Titi
+ PDF Chat	Local and Global Well-Posedness of Strong Solutions to the 3D Primitive Equations with Vertical Eddy Diffusivity	2014	Chongsheng Cao Jinkai Li Edriss S. Titi
+	Small global solutions to the damped two-dimensional Boussinesq equations	2014	Dhanapati Adhikari Chongsheng Cao Jiahong Wu Xiaojing Xu
+	Global Well-posedness of the 3D Primitive Equations with Only Horizontal Viscosity and Diffusion	2014	Chongsheng Cao Jinkai Li Edriss S. Titi
+ PDF Chat	The 2D Incompressible Magnetohydrodynamics Equations with only Magnetic Diffusion	2014	Chongsheng Cao Jiahong Wu Baoquan Yuan
+	Global Well-posedness of Strong Solutions to the 3D Primitive Equations with Horizontal Eddy Diffusivity	2014	Chongsheng Cao Jinkai Li Edriss S. Titi
+	Global Regularity for the Two-Dimensional Anisotropic Boussinesq Equations with Vertical Dissipation	2013	Chongsheng Cao Jiahong Wu
+	The 2D MHD equations with horizontal dissipation and horizontal magnetic diffusion	2013	Chongsheng Cao Dipendra Regmi Jiahong Wu
+ PDF Chat	Global regularity for an inviscid three-dimensional slow limiting ocean dynamics model	2013	Chongsheng Cao Aseel Farhat Edriss S. Titi
+	Small global solutions to the damped two-dimensional Boussinesq equations	2013	Dhanapati Adhikari Chongsheng Cao Jiahong Wu Xiaojing Xu
+	The 2D Incompressible Magnetohydrodynamics Equations with only Magnetic Diffusion	2013	Chongsheng Cao Jiahong Wu Baoquan Yuan
+	Global Regularity for an Inviscid Three-dimensional Slow Limiting Ocean Dynamics Model	2013	Chongsheng Cao Aseel Farhat Edriss S. Titi
+ PDF Chat	Global Well-Posedness of an Inviscid Three-Dimensional Pseudo-Hasegawa-Mima Model	2012	Chongsheng Cao Aseel Farhat Edriss S. Titi
+	Global solutions for the 2D NS–CH model for a two-phase flow of viscous, incompressible fluids with mixed partial viscosity and mobility	2012	Chongsheng Cao Ciprian G. Gal
+ PDF Chat	Global Well–Posedness of the 3D Primitive Equations with Partial Vertical Turbulence Mixing Heat Diffusion	2012	Chongsheng Cao Edriss S. Titi
+	Finite-time Blowup for the Inviscid Primitive Equations of Oceanic and Atmospheric Dynamics	2012	Chongsheng Cao Slim Ibrahim Kenji Nakanishi Edriss S. Titi
+ PDF Chat	Global Regularity Criterion for the 3D Navier–Stokes Equations Involving One Entry of the Velocity Gradient Tensor	2011	Chongsheng Cao Edriss S. Titi
+	Global regularity results for the 2D Boussinesq equations with vertical dissipation	2011	Dhanapati Adhikari Chongsheng Cao Jiahong Wu
+	Global regularity for the 2D anisotropic Boussinesq Equations with vertical dissipation	2011	Chongsheng Cao Jiahong Wu
+	Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion	2010	Chongsheng Cao Jiahong Wu
+	The 2D Boussinesq equations with vertical viscosity and vertical diffusivity	2010	Dhanapati Adhikari Chongsheng Cao Jiahong Wu
+	Global Well-posedness of the 3D Primitive Equations With Partial Vertical Turbulence Mixing Heat Diffusion	2010	Chongsheng Cao Edriss S. Titi
+	Regularity "in Large" for the 3D Salmon's Planetary Geostrophic Model of Ocean Dynamics	2010	Chongsheng Cao Edriss S. Titi
+	Sufficient conditions for the regularity to the 3<em>D</em> Navier-Stokes equations	2009	Chongsheng Cao
+	Two regularity criteria for the 3D MHD equations	2009	Chongsheng Cao Jiahong Wu
+	Two regularity criteria for the 3D MHD equations	2009	Chongsheng Cao Jiahong Wu
+	Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion	2009	Chongsheng Cao Jiahong Wu
+ PDF Chat	Regularity Criterion for Solutions of Three-Dimensional Turbulent Channel Flows	2008	Chongsheng Cao Junlin Qin Edriss S. Titi
+	Regularity criteria for the three-dimensional Navier-Stokes equations	2008	Chongsheng Cao Edriss S. Titi
+ PDF Chat	Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics	2007	Chongsheng Cao Edriss S. Titi
+	Pressure Regularity Criterion for the Three-dimensional Navier-Stokes Equations in Infinite Channel	2007	Chongsheng Cao Edriss S. Titi
+ PDF Chat	On the Clark–α model of turbulence: global regularity and long-time dynamics	2005	Chongsheng Cao Darryl D. Holm Edriss S. Titi
+	Global Well--posedness of the Three-dimensional Viscous Primitive Equations of Large Scale Ocean and Atmosphere Dynamics	2005	Chongsheng Cao Edriss S. Titi
+ PDF Chat	A horizontal hyper-diffusion three-dimensional thermocline planetary geostrophic model: well-posedness and long-time behaviour	2004	Chongsheng Cao Edriss S. Titi Mohammed Ziane
+	Traveling Wave Solutions for a Class of One-Dimensional Nonlinear Shallow Water Wave Models	2004	Chongsheng Cao Darryl D. Holm Edriss S. Titi
+	Global well‐posedness and finite‐dimensional global attractor for a 3‐D planetary geostrophic viscous model	2002	Chongsheng Cao Edriss S. Titi
+	ASYMPTOTIC BEHAVIOR OF VISCOUS 1–D SCALAR CONSERVATION LAWS WITH NEUMANN BOUNDARY CONDITIONS	2002	Chongsheng Cao Edriss S. Titi
+ PDF Chat	Numerical criterion for the stabilization of steady states of the Navier-Stokes equations	2001	Chongsheng Cao Ioannis G. Kevrekidis Edriss S. Titi
+	None	2000	Chongsheng Cao Mohammad A. Rammaha Edriss S. Titi
+	The Navier-Stokes equations on the rotating 2-D sphere: Gevrey regularity and asymptotic degrees of freedom	1999	Chongsheng Cao Mohammad A. Rammaha Edriss S. Titi
+	Global regularity for certain dissipative hydrodynamical and geophysical systems with an application in control theory	1999	Chongsheng Cao

Common Coauthors

Coauthor	Papers Together
Edriss S. Titi	39
Jiahong Wu	14
Jinkai Li	10
Dhanapati Adhikari	5
Yanqiu Guo	5
Aseel Farhat	3
Xiaojing Xu	3
Baoquan Yuan	2
Mohammad A. Rammaha	2
Darryl D. Holm	2
Slim Ibrahim	2
Kenji Nakanishi	2
Mohammed Ziane	1
Ioannis G. Kevrekidis	1
Dipendra Regmi	1
Zhuan Ye	1
Dong Wang	1
Junlin Qin	1
Ciprian G. Gal	1
Hao Kang	1
Quyuan Lin	1
Haifeng Shang	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Some Mathematical Problems in Geophysical Fluid Dynamics	2009	Mădălina Petcu Roger Témam Mohammed Ziane	16
+	Global well‐posedness and finite‐dimensional global attractor for a 3‐D planetary geostrophic viscous model	2002	Chongsheng Cao Edriss S. Titi	16
+ PDF Chat	Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics	2007	Chongsheng Cao Edriss S. Titi	16
+ PDF Chat	GLOBAL EXISTENCE RESULTS FOR THE ANISOTROPIC BOUSSINESQ SYSTEM IN DIMENSION TWO	2010	Raphaël Danchin Marius Paicu	15
+	On the regularity of the primitive equations of the ocean	2007	Igor Kukavica Mohammed Ziane	14
+	Global regularity for the 2D Boussinesq equations with partial viscosity terms	2005	Dongho Chae	13
+	Anisotropic estimates and strong solutions of the primitive equations	2001	Francisco Guillén‐González Nader Masmoudi MA Rodriguez-Bellido	13
+ PDF Chat	Global Well–Posedness of the 3D Primitive Equations with Partial Vertical Turbulence Mixing Heat Diffusion	2012	Chongsheng Cao Edriss S. Titi	11
+	Global well-posedness of the viscous Boussinesq equations	2005	Thomas Y. Hou Congming Li	11
+ PDF Chat	Finite-Time Blowup for the Inviscid Primitive Equations of Oceanic and Atmospheric Dynamics	2015	Chongsheng Cao Slim Ibrahim Kenji Nakanishi Edriss S. Titi	10
+	The Boundary Value Problems of Mathematical Physics	1985	O. A. Ladyzhenskaya	10
+ PDF Chat	Local and Global Well-Posedness of Strong Solutions to the 3D Primitive Equations with Vertical Eddy Diffusivity	2014	Chongsheng Cao Jinkai Li Edriss S. Titi	10
+ PDF Chat	Compact sets in the spaceL p (O,T; B)	1986	Jacques Simon	10
+ PDF Chat	On the uniqueness of weak solutions of the two-dimensional primitive equations	2003	Didier Bresch Francisco Guillén‐González Nader Masmoudi María Ángeles Rodríguez‐Bellido	10
+ PDF Chat	Blowup of solutions of the hydrostatic Euler equations	2014	Tak Kwong Wong	9
+	Global Regularity for the Two-Dimensional Anisotropic Boussinesq Equations with Vertical Dissipation	2013	Chongsheng Cao Jiahong Wu	9
+	Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion	2010	Chongsheng Cao Jiahong Wu	9
+	Global well-posedness of strong solutions to the 3D primitive equations with horizontal eddy diffusivity	2014	Chongsheng Cao Jinkai Li Edriss S. Titi	8
+ PDF Chat	Global Well-Posedness for Euler–Boussinesq System with Critical Dissipation	2010	Taoufik Hmidi Sahbi Keraani Frédéric Rousset	8
+	Navier-Stokes Equations and Nonlinear Functional Analysis	1987	Roger Témam	8
+ PDF Chat	Remarks on the breakdown of smooth solutions for the 3-D Euler equations	1984	J. Thomas Beale T. Kato Andrew J. Majda	8
+	Nonlinear Schrödinger evolution equations	1980	Haı̈m Brezis Thierry Gallouët	7
+	On the Two-Dimensional Hydrostatic Navier--Stokes Equations	2004	Didier Bresch A. V. Kazhikhov J M Lemoine	7
+	A note on limiting cases of sobolev embeddings and convolution inequalities	1980	Haı̈m Brezis Stephen Wainger	7
+ PDF Chat	Existence of a solution ‘in the large’ for the 3D large-scale ocean dynamics equations	2006	G. M. Kobelkov	7
+	Global well-posedness for a Boussinesq–Navier–Stokes system with critical dissipation	2010	Taoufik Hmidi Sahbi Keraani Frédéric Rousset	7
+ PDF Chat	Some mathematical questions related to the mhd equations	1983	Michel Sermange Roger Témam	7
+ PDF Chat	The regularity of solutions of the primitive equations of the ocean in space dimension three	2007	Igor Kukavica Mohammed Ziane	6
+ PDF Chat	Anisotropic estimates and strong solutions of the primitive equations	2001	Francisco Guillén‐González Nader Masmoudi María Ángeles Rodríguez‐Bellido	6
+	On the interior regularity of weak solutions of the Navier-Stokes equations	1962	James Serrin	6
+ PDF Chat	Remarks on the planetary geostrophic model of gyre scale ocean circulation	2000	R. M. Samelson Roger Témam S. Wang	6
+	Global regularity results for the 2D Boussinesq equations with vertical dissipation	2011	Dhanapati Adhikari Chongsheng Cao Jiahong Wu	6
+	On the result of He concerning the smoothness of solutions to the Navier-Stokes equations	2003	Milan Pokorný	6
+	One component regularity for the Navier–Stokes equations	2005	Igor Kukavica Mohammed Ziane	6
+	Global regularity for the 2D anisotropic Boussinesq Equations with vertical dissipation	2011	Chongsheng Cao Jiahong Wu	6
+ PDF Chat	Regularity criteria involving the pressure for the weak solutions to the Navier-Stokes equations	2002	Luigi C. Berselli Giovanni P. Galdi	6
+ PDF Chat	Global Well-Posedness of an Inviscid Three-Dimensional Pseudo-Hasegawa-Mima Model	2012	Chongsheng Cao Aseel Farhat Edriss S. Titi	6
+ PDF Chat	Global Well-Posedness Issues for the Inviscid Boussinesq System with Yudovich’s Type Data	2009	Raphaël Danchin Marius Paicu	5
+ PDF Chat	Infinite Prandtl Number Convection	1999	Peter Constantin Charles R. Doering	5
+	Lectures on Elliptic Boundary Value Problems	2010	Shmuel Agmon	5
+	Quelques méthodes de résolution des problèmes aux limites non linéaires	1969	Jacques Louis Lions	5
+	Existence of Solutions to the Stommel–Charney Model of the Gulf Stream	1988	Victor Barcilon Peter Constantin Edriss S. Titi	5
+ PDF Chat	On the global well-posedness of a class of Boussinesq–Navier–Stokes systems	2011	Changxing Miao Liutang Xue	5
+ PDF Chat	Regularity criterion in terms of pressure for the Navier–Stokes equations	2001	Dongho Chae Jihoon Lee	5
+	Primitive equations with continuous initial data	2014	Igor Kukavica Yuan Pei Walter Rusin Mohammed Ziane	4
+ PDF Chat	Remarks on Singularities, Dimension and Energy Dissipation for Ideal Hydrodynamics and MHD	1997	Russel E. Caflisch Isaac Klapper Gregory V. Steele	4
+	Blowup of solutions of the unsteady Prandtl's equation	1997	E Weinan Björn Engquist	4
+	The initial value problem for the Boussinesq equations with data in Lp	1980	John R. Cannon Emmanuele DiBenedetto	4
+	Initial Boundary Value Problem for Two-Dimensional Viscous Boussinesq Equations	2010	Ming‐Jun Lai Ronghua Pan Kun Zhao	4
+	Regularity criteria in terms of pressure for the 3-D Navier-Stokes equations in a generic domain	2003	Yong Zhou	4