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Scopus Author ID: 7401501849

Biography

CHONGSHENG CAO,
DEPARTMENT of MATHEMATICS and STATISTICS
Miami, FL 33199
(305)348-6247
caoc@fiu.edu


EDUCATION

● Ph.D., University of California, Irvine, Applied Mathematics, June 1999.

EXPERIENCE

● Florida International University, Professor, Mathematics,
Aug. 2013 – present
● Florida International University, Associate Professor, Mathematics,
Aug. 2008 – Aug. 2013
● Florida International University, Assistant Professor, Mathematics,
Aug. 2004 – Aug. 2008
● University of Nebraska, Lincoln, Research Assistant Professor, Mathematics,
Jan. 2003 - Aug. 2004
● Los Alamos National Laboratory, Postdoctoral Research Associate,
Dec.1999 - Jan. 2003


SELECTED PUBLICATIONS

1. Global Well-Posedness of the Three-Dimensional Primitive Equationswith Only Horizontal Viscosity and Diffusion, (With J. Li and E.S. Titi), Comm Pure Appl Math, 69 (2016), 1492–1531.


2. Finite-time blowup for the inviscid primitive equations of oceanic and atmospheric dynamics. (S. Ibrahim, K. Nakanishi and E.S. Titi.), Comm Math Phys 337 (2015), 473—482.

3. Global regularity for the 2D anisotropic Boussinesq Equations with vertical dissipation, (with Jiahong Wu), Arch. Ration. Mech. Anal. 208, 985–1004, 2013.

4. Global Regularity Criterion for the 3D Navier-Stokes Equations Involving One Entry of the Velocity Gradient Tensor, (with E.S. Titi), Arch. Ration. Mech. Anal. 202, 919–932, 2011.

5. Global Well–posedness of the Three-dimensional Viscous Primitive Equations of Large Scale Ocean and Atmosphere Dynamics, (with E.S. Titi), Ann. Math. 166, 245–267, 2007.

6. Global Well–posedness and Finite Dimensional Global Attractor for a 3–D Planetary Geostrophic Viscous Model, (with E.S. Titi), Comm. Pure Appl. Math. 56, 198-233, 2003



AWARDS AND HONORS

●the International Consortium of Chinese Mathematics (ICCM): Best Paper Award (2020)

● The SIAM Activity Group on Analysis of Partial Differential Equations (SIAG/APDE)
Prize (2009).

Activities

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Employment (5)

Florida International University: Miami, US

2013-08 to present | Professor (Mathematics)
Employment
Source: Self-asserted source
Chongsheng Cao

Florida International University: Miami, US

2008-08 to 2013-08 | Associate Professor (Mathematics)
Employment
Source: Self-asserted source
Chongsheng Cao

Florida International University: Miami, US

2004-08 to 2008-08 | Assistant Professor (Mathematics)
Employment
Source: Self-asserted source
Chongsheng Cao

University of Nebraska–Lincoln: Lincoln, Nebraska, US

2003-01 to 2004-08 | Research Assistant Professor (Mathematics)
Employment
Source: Self-asserted source
Chongsheng Cao

Los Alamos National Laboratory: NM, NM, US

1999-12 to 2003-01 | Postdoctoral Research Associate (center for nonlinear studies)
Employment
Source: Self-asserted source
Chongsheng Cao

Education and qualifications (1)

University of California, Irvine: Irvine, California, US

1999-06 | Ph.D. (Mathematics)
Education
Source: Self-asserted source
Chongsheng Cao

Professional activities (2)

the fourth International Consortium of Chinese Mathematics (ICCM): Hong Kong, HK

2020-12 | Best Paper Award
Distinction
Source: Self-asserted source
Chongsheng Cao

Society for Industrial and Applied Mathematics: Philadelphia, US

2009-12 | Best Paper Award
Distinction
Source: Self-asserted source
Chongsheng Cao

Funding (2)

Mathematical Analysis of Certain Geophysical and Fluid Dynamics Models

2011 to 2014 | Grant
National Science Foundation (Alexandria, US)
Source: Self-asserted source
Chongsheng Cao

Analytical Study of Certain Turbulence and Lare-Scale Geophysical Models.

2007 to 2010 | Grant
National Science Foundation (Alexandria, US)
Source: Self-asserted source
Chongsheng Cao

Works (33)

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

Journal of Evolution Equations
2021 | Journal article
DOI: 10.1007/s00028-020-00644-4
EID:

2-s2.0-85095720827

Part of ISSN: 14243202 14243199
Contributors: Cao, C.; Guo, Y.; Titi, E.S.
Source: Self-asserted source
Chongsheng Cao via Scopus - Elsevier

Global well-posedness of 2D chemotaxis Euler fluid systems

Journal of Differential Equations
2021 | Journal article
DOI: 10.1016/j.jde.2021.05.039
EID:

2-s2.0-85107060149

Part of ISSN: 10902732 00220396
Contributors: Cao, C.; Kang, H.
Source: Self-asserted source
Chongsheng Cao via Scopus - Elsevier

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

Journal of Differential Equations
2020 | Journal article
DOI: 10.1016/j.jde.2020.06.033
EID:

2-s2.0-85086476484

Part of ISSN: 10902732 00220396
Contributors: Cao, C.; Guo, Y.; Titi, E.S.
Source: Self-asserted source
Chongsheng Cao via Scopus - Elsevier

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

Physica D: Nonlinear Phenomena
2020 | Journal article
DOI: 10.1016/j.physd.2020.132606
EID:

2-s2.0-85086870408

Part of ISSN: 01672789
Contributors: Cao, C.; Li, J.; Titi, E.S.
Source: Self-asserted source
Chongsheng Cao via Scopus - Elsevier

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

Journal of Mathematical Fluid Mechanics
2020 | Journal article
DOI: 10.1007/s00021-020-00495-6
EID:

2-s2.0-85086069933

Part of ISSN: 14226952 14226928
Contributors: Cao, C.; Lin, Q.; Titi, E.S.
Source: Self-asserted source
Chongsheng Cao via Scopus - Elsevier

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

Journal of Mathematical Physics
2018 | Journal article
DOI: 10.1063/1.5022099
EID:

2-s2.0-85049865286

Part of ISSN: 00222488
Contributors: Cao, C.; Guo, Y.; Titi, E.S.
Source: Self-asserted source
Chongsheng Cao via Scopus - Elsevier

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

Journal of Differential Equations
2016 | Journal article
DOI: 10.1016/j.jde.2015.09.049
EID:

2-s2.0-84947801980

Part of ISSN: 10902732 00220396
Contributors: Adhikari, D.; Cao, C.; Shang, H.; Wu, J.; Xu, X.; Ye, Z.
Source: Self-asserted source
Chongsheng Cao via Scopus - Elsevier

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

Communications on Pure and Applied Mathematics
2016 | Journal article
DOI: 10.1002/cpa.21576
EID:

2-s2.0-84928724416

Part of ISSN: 10970312 00103640
Contributors: Cao, C.; Li, J.; Titi, E.S.
Source: Self-asserted source
Chongsheng Cao via Scopus - Elsevier

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

Communications in Mathematical Physics
2015 | Journal article
DOI: 10.1007/s00220-015-2365-1
EID:

2-s2.0-84937758024

Part of ISSN: 14320916 00103616
Contributors: Cao, C.; Ibrahim, S.; Nakanishi, K.; Titi, E.S.
Source: Self-asserted source
Chongsheng Cao via Scopus - Elsevier

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

Journal of Differential Equations
2014 | Journal article
DOI: 10.1016/j.jde.2014.08.003
EID:

2-s2.0-84908511416

Part of ISSN: 10902732 00220396
Contributors: Cao, C.; Li, J.; Titi, E.S.
Source: Self-asserted source
Chongsheng Cao via Scopus - Elsevier

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

Archive for Rational Mechanics and Analysis
2014 | Journal article
DOI: 10.1007/s00205-014-0752-y
EID:

2-s2.0-84905103481

Part of ISSN: 14320673 00039527
Contributors: Cao, C.; Li, J.; Titi, E.S.
Source: Self-asserted source
Chongsheng Cao via Scopus - Elsevier

Small global solutions to the damped two-dimensional Boussinesq equations

Journal of Differential Equations
2014 | Journal article
DOI: 10.1016/j.jde.2014.02.012
EID:

2-s2.0-84897398496

Part of ISSN: 10902732 00220396
Contributors: Adhikari, D.; Cao, C.; Wu, J.; Xu, X.
Source: Self-asserted source
Chongsheng Cao via Scopus - Elsevier

The 2D incompressible magnetohydrodynamics equations with only magnetic diffusion

SIAM Journal on Mathematical Analysis
2014 | Journal article
DOI: 10.1137/130937718
EID:

2-s2.0-84897878373

Part of ISSN: 00361410 10957111
Contributors: Cao, C.; Wu, J.; Yuan, B.
Source: Self-asserted source
Chongsheng Cao via Scopus - Elsevier

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

Archive for Rational Mechanics and Analysis
2013 | Journal article
DOI: 10.1007/s00205-013-0610-3
EID:

2-s2.0-84877038158

Part of ISSN: 14320673 00039527
Contributors: Cao, C.; Wu, J.
Source: Self-asserted source
Chongsheng Cao via Scopus - Elsevier

Global well-posedness of an inviscid three-dimensional pseudo-Hasegawa-Mima model

Communications in Mathematical Physics
2013 | Journal article
DOI: 10.1007/s00220-012-1626-5
EID:

2-s2.0-84870586440

Part of ISSN: 14320916 00103616
Contributors: Cao, C.; Farhat, A.; Titi, E.S.
Source: Self-asserted source
Chongsheng Cao via Scopus - Elsevier

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

Journal of Differential Equations
2013 | Journal article
DOI: 10.1016/j.jde.2013.01.002
EID:

2-s2.0-84873258396

Part of ISSN: 00220396 10902732
Contributors: Cao, C.; Regmi, D.; Wu, J.
Source: Self-asserted source
Chongsheng Cao via Scopus - Elsevier

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

Nonlinearity
2012 | Journal article
DOI: 10.1088/0951-7715/25/11/3211
EID:

2-s2.0-84868143684

Part of ISSN: 09517715 13616544
Contributors: Cao, C.; Gal, C.G.
Source: Self-asserted source
Chongsheng Cao via Scopus - Elsevier

Global Well-Posedness of the 3D Primitive Equations with Partial Vertical Turbulence Mixing Heat Diffusion

Communications in Mathematical Physics
2012 | Journal article
DOI: 10.1007/s00220-011-1409-4
EID:

2-s2.0-84857231790

Part of ISSN: 00103616 14320916
Contributors: Cao, C.; Titi, E.S.
Source: Self-asserted source
Chongsheng Cao via Scopus - Elsevier

Global Regularity Criterion for the 3D Navier-Stokes Equations Involving One Entry of the Velocity Gradient Tensor

Archive for Rational Mechanics and Analysis
2011 | Journal article
DOI: 10.1007/s00205-011-0439-6
EID:

2-s2.0-81555209707

Part of ISSN: 00039527 14320673
Contributors: Cao, C.; Titi, E.S.
Source: Self-asserted source
Chongsheng Cao via Scopus - Elsevier

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

Advances in Mathematics
2011 | Journal article
DOI: 10.1016/j.aim.2010.08.017
EID:

2-s2.0-78149498847

Part of ISSN: 00018708 10902082
Contributors: Cao, C.; Wu, J.
Source: Self-asserted source
Chongsheng Cao via Scopus - Elsevier

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

Journal of Differential Equations
2011 | Journal article
DOI: 10.1016/j.jde.2011.05.027
EID:

2-s2.0-80955181045

Part of ISSN: 00220396 10902732
Contributors: Adhikari, D.; Cao, C.; Wu, J.
Source: Self-asserted source
Chongsheng Cao via Scopus - Elsevier

Sufficient conditions for the regularity to the 3D Navier-stokes equations

Discrete and Continuous Dynamical Systems
2010 | Journal article
DOI: 10.3934/dcds.2010.26.1141
EID:

2-s2.0-77950293526

Part of ISSN: 10780947
Contributors: Cao, C.
Source: Self-asserted source
Chongsheng Cao via Scopus - Elsevier

The 2D Boussinesq equations with vertical viscosity and vertical diffusivity

Journal of Differential Equations
2010 | Journal article
DOI: 10.1016/j.jde.2010.03.021
EID:

2-s2.0-77952957519

Part of ISSN: 00220396 10902732
Contributors: Adhikari, D.; Cao, C.; Wu, J.
Source: Self-asserted source
Chongsheng Cao via Scopus - Elsevier

Two regularity criteria for the 3D MHD equations

Journal of Differential Equations
2010 | Journal article
DOI: 10.1016/j.jde.2009.09.020
EID:

2-s2.0-77249126380

Part of ISSN: 00220396 10902732
Contributors: Cao, C.; Wu, J.
Source: Self-asserted source
Chongsheng Cao via Scopus - Elsevier

Regularity criteria for the three-dimensional Navier-Stokes equations

Indiana University Mathematics Journal
2008 | Journal article
DOI: 10.1512/iumj.2008.57.3719
EID:

2-s2.0-59549105057

Part of ISSN: 00222518
Contributors: Cao, C.; Titi, E.S.
Source: Self-asserted source
Chongsheng Cao via Scopus - Elsevier

Regularity criterion for solutions of three-dimensional Turbulent channel flows

Communications in Partial Differential Equations
2008 | Journal article
DOI: 10.1080/03605300701454859
EID:

2-s2.0-40249084073

Part of ISSN: 03605302 15324133
Contributors: Cao, C.; Qin, J.; Titi, E.S.
Source: Self-asserted source
Chongsheng Cao via Scopus - Elsevier

Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics

Annals of Mathematics
2007 | Journal article
DOI: 10.4007/annals.2007.166.245
EID:

2-s2.0-36348955539

Part of ISSN: 0003486X
Contributors: Cao, C.; Titi, E.S.
Source: Self-asserted source
Chongsheng Cao via Scopus - Elsevier

On the Clark-α model of turbulence: Global regularity and long-time dynamics

Journal of Turbulence
2005 | Journal article
DOI: 10.1080/14685240500183756
EID:

2-s2.0-28644438663

Part of ISSN: 14685248 14685248
Contributors: Cao, C.; Holm, D.D.; Titi, E.S.
Source: Self-asserted source
Chongsheng Cao via Scopus - Elsevier

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

Nonlinearity
2004 | Journal article
DOI: 10.1088/0951-7715/17/5/011
EID:

2-s2.0-4644247535

Part of ISSN: 09517715
Contributors: Cao, C.; Titi, E.S.; Ziane, M.
Source: Self-asserted source
Chongsheng Cao via Scopus - Elsevier

Global Well-Posedness and Finite-Dimensional Global Attractor for a 3-D Planetary Geostrophic Viscous Model

Communications on Pure and Applied Mathematics
2003 | Journal article
DOI: 10.1002/cpa.10056
EID:

2-s2.0-0037578614

Part of ISSN: 00103640
Contributors: Cao, C.; Titi, E.S.
Source: Self-asserted source
Chongsheng Cao via Scopus - Elsevier

Numerical criterion for the stabilization of steady states of the Navier-Stokes equations

Indiana University Mathematics Journal
2001 | Journal article
DOI: 10.1512/iumj.2001.50.2154
EID:

2-s2.0-0039841938

Part of ISSN: 00222518
Contributors: Cao, C.; Kevrekidis, I.G.; Titi, E.S.
Source: Self-asserted source
Chongsheng Cao via Scopus - Elsevier

Gevrey regularity for nonlinear analytic parabolic equations on the sphere

Journal of Dynamics and Differential Equations
2000 | Journal article
DOI: 10.1023/A:1009072526324
EID:

2-s2.0-0000534779

Part of ISSN: 15729222 10407294
Contributors: Cao, C.; Rammaha, M.A.; Titi, E.S.
Source: Self-asserted source
Chongsheng Cao via Scopus - Elsevier

The Navier-Stokes equations on the rotating 2 - D sphere: Gevrey regularity and asymptotic degrees of freedom

Zeitschrift fur Angewandte Mathematik und Physik
1999 | Journal article
DOI: 10.1007/PL00001493
EID:

2-s2.0-0033245822

Part of ISSN: 00442275
Contributors: Cao, C.; Rammaha, M.A.; Titi, E.S.
Source: Self-asserted source
Chongsheng Cao via Scopus - Elsevier
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