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1

Global Well-Posedness of the Three-Dimensional Viscous Primitive Equations of Large Scale Ocean and Atmosphere Dynamics

Chongsheng Cao and Edriss S. Titi

Journal:

Annals of Mathematics

Year:

2007

Language:

english

File:

PDF, 1.30 MB

english, 2007

2

Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion

Chongsheng Cao, Jiahong Wu

Journal:

Advances in Mathematics

Year:

2011

Language:

english

File:

PDF, 172 KB

english, 2011

3

The 2D MHD equations with horizontal dissipation and horizontal magnetic diffusion

Cao, Chongsheng, Regmi, Dipendra, Wu, Jiahong

Journal:

Journal of Differential Equations

Year:

2013

Language:

english

File:

PDF, 270 KB

english, 2013

4

Two regularity criteria for the 3D MHD equations

Chongsheng Cao, Jiahong Wu

Journal:

Journal of Differential Equations

Year:

2010

Language:

english

File:

PDF, 172 KB

english, 2010

5

Traveling Wave Solutions for a Class of One-Dimensional Nonlinear Shallow Water Wave Models

Chongsheng Cao, Darryl D. Holm, Edriss S. Titi

Journal:

Journal of Dynamics and Differential Equations

Year:

2004

Language:

english

File:

PDF, 121 KB

english, 2004

6

Global Well-Posedness of an Inviscid Three-Dimensional Pseudo-Hasegawa-Mima Model

Cao, Chongsheng, Farhat, Aseel, Titi, Edriss S.

Journal:

Communications in Mathematical Physics

Year:

2013

Language:

english

File:

PDF, 434 KB

english, 2013

7

Local and Global Well-Posedness of Strong Solutions to the 3D Primitive Equations with Vertical Eddy Diffusivity

Cao, Chongsheng, Li, Jinkai, Titi, Edriss S.

Journal:

Archive for Rational Mechanics and Analysis

Year:

2014

Language:

english

File:

PDF, 450 KB

english, 2014

8

Global well-posedness and finite-dimensional global attractor for a 3-D planetary geostrophic viscous model

Chongsheng Cao, Edriss S. Titi

Journal:

Communications on Pure and Applied Mathematics

Year:

2003

Language:

english

File:

PDF, 291 KB

english, 2003

9

The 2D Boussinesq equations with vertical viscosity and vertical diffusivity

Dhanapati Adhikari, Chongsheng Cao, Jiahong Wu

Journal:

Journal of Differential Equations

Year:

2010

Language:

english

File:

PDF, 166 KB

english, 2010

10

Global regularity results for the 2D Boussinesq equations with vertical dissipation

Dhanapati Adhikari, Chongsheng Cao, Jiahong Wu

Journal:

Journal of Differential Equations

Year:

2011

Language:

english

File:

PDF, 206 KB

english, 2011

11

Global Regularity Criterion for the 3DNavier–Stokes Equations Involving One Entry of the Velocity Gradient Tensor

Chongsheng Cao, Edriss S. Titi

Journal:

Archive for Rational Mechanics and Analysis

Year:

2011

Language:

english

File:

PDF, 201 KB

english, 2011

12

Global Well–Posedness of the 3DPrimitive Equations with Partial Vertical Turbulence Mixing Heat Diffusion

Chongsheng Cao, Edriss S. Titi

Journal:

Communications in Mathematical Physics

Year:

2012

Language:

english

File:

PDF, 388 KB

english, 2012

13

Gevrey Regularity for Nonlinear Analytic Parabolic Equations on the Sphere

Chongsheng Cao, Mohammad A. Rammaha, Edriss S. Titi

Journal:

Journal of Dynamics and Differential Equations

Year:

2000

Language:

english

File:

PDF, 168 KB

english, 2000

14

Global Regularity for the Two-Dimensional Anisotropic Boussinesq Equations with Vertical Dissipation

Chongsheng Cao, Jiahong Wu

Journal:

Archive for Rational Mechanics and Analysis

Year:

2013

Language:

english

File:

PDF, 238 KB

english, 2013

15

Small global solutions to the damped two-dimensional Boussinesq equations

Adhikari, Dhanapati, Cao, Chongsheng, Wu, Jiahong, Xu, Xiaojing

Journal:

Journal of Differential Equations

Year:

2014

Language:

english

File:

PDF, 284 KB

english, 2014

16

Global well-posedness of strong solutions to the 3D primitive equations with horizontal eddy diffusivity

Cao, Chongsheng, Li, Jinkai, Titi, Edriss S.

Journal:

Journal of Differential Equations

Year:

2014

Language:

english

File:

PDF, 342 KB

english, 2014

17

Regularity Criterion for Solutions of Three-Dimensional Turbulent Channel Flows

Cao, Chongsheng, Qin, Junlin, Titi, Edriss S.

Journal:

Communications in Partial Differential Equations

Year:

2008

Language:

english

File:

PDF, 125 KB

english, 2008

18

The 2D Incompressible Magnetohydrodynamics Equations with only Magnetic Diffusion

Cao, Chongsheng, Wu, Jiahong, Yuan, Baoquan

Journal:

SIAM Journal on Mathematical Analysis

Year:

2014

Language:

english

File:

PDF, 215 KB

english, 2014

19

Finite-Time Blowup for the Inviscid Primitive Equations of Oceanic and Atmospheric Dynamics

Cao, Chongsheng, Ibrahim, Slim, Nakanishi, Kenji, Titi, Edriss S.

Journal:

Communications in Mathematical Physics

Year:

2015

Language:

english

File:

PDF, 412 KB

english, 2015

20

Global solutions for the 2D NS–CH model for a two-phase flow of viscous, incompressible fluids with mixed partial viscosity and mobility

Cao, Chongsheng, Gal, Ciprian G

Journal:

Year:

2012

Language:

english

File:

PDF, 204 KB

english, 2012

21

Leading Electroweak Corrections to the Neutral Higgs Boson Production at the Fermilab Tevatron

QingHong, Cao, ChongSheng, Li, Shou Hua, Zhu

Journal:

Communications in Theoretical Physics

Year:

2000

Language:

english

File:

PDF, 1.08 MB

english, 2000

22

A horizontal hyper-diffusion three-dimensional thermocline planetary geostrophic model: well-posedness and long-time behaviour

Cao, Chongsheng, Titi, Edriss S, Ziane, Mohammed

Journal:

Year:

2004

Language:

english

File:

PDF, 230 KB

english, 2004

23

Leading Supersymmetric Electroweak Corrections to Top Quark Decay into a Neutralino and Light Stop

YaSheng, Yang, ChongSheng, Li, QingHong, Cao, HongXuan, Liu

Journal:

Communications in Theoretical Physics

Year:

2000

Language:

english

File:

PDF, 528 KB

english, 2000

24

Global regularity results for the 2D Boussinesq equations with partial dissipation

Adhikari, Dhanapati, Cao, Chongsheng, Shang, Haifeng, Wu, Jiahong, Xu, Xiaojing, Ye, Zhuan

Journal:

Journal of Differential Equations

Year:

2016

Language:

english

File:

PDF, 1010 KB

english, 2016

25

Global Well-Posedness of the Three-Dimensional Primitive Equations with Only Horizontal Viscosity and Diffusion

Cao, Chongsheng, Li, Jinkai, Titi, Edriss S.

Journal:

Communications on Pure and Applied Mathematics

Year:

2016

Language:

english

File:

PDF, 325 KB

english, 2016

26

Strong solutions to the 3D primitive equations with only horizontal dissipation: Near H 1 initial data

Cao, Chongsheng, Li, Jinkai, Titi, Edriss S.

Journal:

Journal of Functional Analysis

Year:

2017

Language:

english

File:

PDF, 1.53 MB

english, 2017

27

Global strong solutions for the three-dimensional Hasegawa-Mima model with partial dissipation

Cao, Chongsheng, Guo, Yanqiu, Titi, Edriss S.

Journal:

Journal of Mathematical Physics

Year:

2018

Language:

english

File:

PDF, 392 KB

english, 2018

28

Regularity criteria for the three-dimensional Navier-Stokes equations

Cao, Chongsheng, Titi, Edriss S.

Journal:

Indiana University Mathematics Journal

Year:

2008

Language:

english

File:

PDF, 283 KB

english, 2008

29

On the Well-Posedness of Reduced 3D Primitive Geostrophic Adjustment Model with Weak Dissipation

Cao, Chongsheng, Lin, Quyuan, Titi, Edriss S.

Journal:

Journal of Mathematical Fluid Mechanics

Year:

2020

File:

PDF, 706 KB

2020

30

Global well-posedness of the 3D primitive equations with horizontal viscosity and vertical diffusivity

Cao, Chongsheng, Li, Jinkai, Titi, Edriss S.

Journal:

Physica D: Nonlinear Phenomena

Year:

2020

File:

PDF, 631 KB

2020

31

Global regularity for a rapidly rotating constrained convection model of tall columnar structure with weak dissipation

Cao, Chongsheng, Guo, Yanqiu, Titi, Edriss S.

Journal:

Journal of Differential Equations

Year:

2020

File:

PDF, 460 KB

2020

32

Global well-posedness for a rapidly rotating convection model of tall columnar structure in the limit of infinite Prandtl number

Cao, Chongsheng, Guo, Yanqiu, Titi, Edriss S.

Journal:

Journal of Evolution Equations

Year:

2020

File:

PDF, 521 KB

2020