11 paper(s) uploaded by jklimath.

Index Title Upload Time Modified Time
1

Global well-posedness of the three-dimensional primitive equations with only horizontal viscosity and diffusion

Chongsheng Cao Florida International Uni Jinkai Li South China Normal University Edriss S. Titi Texas A&M University

Analysis of PDEs mathscidoc:1905.03007

Gold Award Paper in 2020

Communications on Pure and Applied Mathematics, 69, (8), 2016
[ Download ] [ 2019-05-20 11:41:04 uploaded by jklimath ] [ 496 downloads ] [ 55 comments ] [ Abstract ] [ Full ]
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2019-05-20 11:41:04 -
2

Local well-posedness of isentropic compressible Navier-Stokes equations with vacuum

Huajun Gong Shenzhen University Jinkai Li South China Normal University Xian-Gao Liu Fudan University Xiaotao Zhang South China Normal University

Analysis of PDEs mathscidoc:1905.03008

[ Download ] [ 2019-05-20 11:44:29 uploaded by jklimath ] [ 435 downloads ] [ 55 comments ] [ Abstract ] [ Full ]
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2019-05-20 11:44:29 -
3

Global small solutions of heat conductive compressible Navier-Stokes equations with vacuum: smallness on scaling invariant quantity

Jinkai Li South China Normal University

Analysis of PDEs mathscidoc:1906.03001

[ Download ] [ 2019-06-21 22:56:08 uploaded by jklimath ] [ 382 downloads ] [ 177 comments ] [ Abstract ] [ Full ]
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2019-06-21 22:56:08 -
4

Entropy-bounded solutions to the one-dimensional heat conductive compressible Navier--Stokes equations with far field vacuum

Jinkai Li South China Normal University Zhouping Xin The Chinese University of Hong Kong

Analysis of PDEs mathscidoc:2002.03001

[ Download ] [ 2020-02-11 20:17:11 uploaded by jklimath ] [ 378 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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2020-02-11 20:17:11 -
5

Entropy bounded solutions to the one-dimensional compressible Navier-Stokes equations with zero heat conduction and far field vacuum

Jinkai Li South China Normal University Zhouping Xin The Chinese University of Hong Kong

Analysis of PDEs mathscidoc:2002.03002

AdvancesinMathematics, 361, 106923, 2020
[ Download ] [ 2020-02-11 20:24:02 uploaded by jklimath ] [ 406 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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2020-02-11 20:24:02 -
6

Global well-posedness of the one-dimensional compressible navier-stokes equations with constant heat conductivity and nonnegative density

Jinkai Li South Chine Normal University

Analysis of PDEs mathscidoc:2002.03003

SIAM J. MATH. ANAL., 51, (5), 366-{3693, 2019
[ Download ] [ 2020-02-11 20:27:47 uploaded by jklimath ] [ 334 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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2020-02-11 20:27:47 2020-02-11 20:28:35
7

Local existence and uniqueness of heat conductive compressible Navier-Stokes equations in the presence of vacuum and without initial compatibility conditions

Jinkai Li South China Normal University Yasi Zheng South China Normal University

Analysis of PDEs mathscidoc:2108.03003

2021.8
[ Download ] [ 2021-08-24 23:19:54 uploaded by jklimath ] [ 127 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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2021-08-24 23:19:54 -
8

Global well-posedness of $z$-weak solutions to the primitive equations without vertical diffusivity

Jinkai Li South China Normal University Guozhi Yuan South China Normal University

Analysis of PDEs mathscidoc:2108.03004

2021.7
[ Download ] [ 2021-08-24 23:23:25 uploaded by jklimath ] [ 134 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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2021-08-24 23:23:25 -
9

The primitive equations approximation of the anisotropic horizontally viscous Navier-Stokes equations

Jinkai Li South China Normal University Edriss S. Titi Texas A&M University; University of Cambridge Guozhi Yuan South China Normal University

Analysis of PDEs mathscidoc:2108.03005

2021.6
[ Download ] [ 2021-08-24 23:27:14 uploaded by jklimath ] [ 126 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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2021-08-24 23:27:14 -
10

Global strong solutions to the Cauchy problem of the planar non-resistive magnetohydrodynamic equations with large initial data

Jinkai Li South China Normal University Mingjie Li Minzu University of China

Analysis of PDEs mathscidoc:2108.03006

2021.7
[ Download ] [ 2021-08-24 23:30:40 uploaded by jklimath ] [ 127 downloads ] [ 0 comments ] [ Abstract ] [ Full ]
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2021-08-24 23:30:40 -
 
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