Global classical solution to the three-dimensional isentropic compressible Navier-Stokes equations with general initial data

Science China Mathematics ◽

10.1007/s11425-012-4481-0 ◽

2012 ◽

Vol 55 (12) ◽

pp. 2457-2468 ◽

Author(s):

XueMei Deng ◽

PeiXin Zhang ◽

JunNing Zhao

Keyword(s):

Initial Data ◽

Classical Solution ◽

Stokes Equations ◽

Three Dimensional ◽

Navier Stokes ◽

Global Classical Solution ◽

Navier Stokes Equations ◽

General Initial Data

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Global classical solution to the 3D isentropic compressible Navier-Stokes equations with general initial data and a density-dependent viscosity coefficient

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.3137 ◽

2014 ◽

Vol 38 (6) ◽

pp. 1158-1177 ◽

Author(s):

Peixin Zhang

Keyword(s):

Initial Data ◽

Classical Solution ◽

Stokes Equations ◽

Viscosity Coefficient ◽

Navier Stokes ◽

Global Classical Solution ◽

Navier Stokes Equations ◽

Density Dependent ◽

General Initial Data ◽

Dependent Viscosity

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Global classical solution of the Cauchy problem to 1D compressible Navier–Stokes equations with large initial data

Journal of Differential Equations ◽

10.1016/j.jde.2014.03.014 ◽

2014 ◽

Vol 257 (2) ◽

pp. 311-350 ◽

Author(s):

Quansen Jiu ◽

Mingjie Li ◽

Yulin Ye

Keyword(s):

Cauchy Problem ◽

Initial Data ◽

Classical Solution ◽

Stokes Equations ◽

Navier Stokes ◽

Global Classical Solution ◽

Large Initial Data ◽

Navier Stokes Equations ◽

The Cauchy Problem

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The incompressible limits of compressible Navier-Stokes equations in the whole space with general initial data

Chinese Annals of Mathematics Series B ◽

10.1007/s11401-008-0039-4 ◽

2009 ◽

Vol 30 (1) ◽

pp. 17-26 ◽

Author(s):

Ling Hsiao ◽

Qiangchang Ju ◽

Fucai Li

Keyword(s):

Initial Data ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

General Initial Data ◽

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Global classical solution to two-dimensional compressible Navier–Stokes equations with large data inR2

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2017.12.006 ◽

2018 ◽

Vol 376-377 ◽

pp. 180-194 ◽

Author(s):

Quansen Jiu ◽

Yi Wang ◽

Zhouping Xin

Keyword(s):

Classical Solution ◽

Stokes Equations ◽

Navier Stokes ◽

Two Dimensional ◽

Global Classical Solution ◽

Navier Stokes Equations

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Global classical solution to the cauchy problem of the 3-D compressible Navier-Stokes equations with density-dependent viscosity

Acta Mathematica Scientia ◽

10.1016/s0252-9602(16)30078-9 ◽

2016 ◽

Vol 36 (5) ◽

pp. 1419-1432 ◽

Author(s):

Yulin YE

Keyword(s):

Cauchy Problem ◽

Classical Solution ◽

Stokes Equations ◽

Navier Stokes ◽

Global Classical Solution ◽

Navier Stokes Equations ◽

Density Dependent ◽

The Cauchy Problem ◽

Dependent Viscosity

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On the stability of contact discontinuity for Cauchy problem of compress Navier-Stokes equations with general initial data

Science China Mathematics ◽

10.1007/s11425-012-4441-8 ◽

2012 ◽

Vol 55 (10) ◽

pp. 2005-2026 ◽

Author(s):

TingTing Zheng ◽

JunNing Zhao

Keyword(s):

Cauchy Problem ◽

Initial Data ◽

Stokes Equations ◽

Contact Discontinuity ◽

Navier Stokes ◽

Navier Stokes Equations ◽

General Initial Data ◽

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Global Spherically Symmetric Classical Solution to Compressible Navier–Stokes Equations with Large Initial Data and Vacuum

SIAM Journal on Mathematical Analysis ◽

10.1137/110836663 ◽

2012 ◽

Vol 44 (2) ◽

pp. 1257-1278 ◽

Author(s):

Shijin Ding ◽

Huanyao Wen ◽

Lei Yao ◽

Changjiang Zhu

Keyword(s):

Initial Data ◽

Classical Solution ◽

Stokes Equations ◽

Navier Stokes ◽

Spherically Symmetric ◽

Large Initial Data ◽

Navier Stokes Equations

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Three-dimensional Navier-Stokes equations for singular filament initial data

Journal of Differential Equations ◽

10.1016/0022-0396(88)90004-6 ◽

1988 ◽

Vol 74 (2) ◽

pp. 234-253 ◽

Author(s):

Georges-Henri Cottet ◽

Juan Soler

Keyword(s):

Initial Data ◽

Stokes Equations ◽

Three Dimensional ◽

Navier Stokes ◽

Navier Stokes Equations

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The viscosity vanishing limit and global well-posedness of the three-dimensional incompressible Navier–Stokes equations with smooth large initial data in spherical coordinates

Applied Mathematics Letters ◽

10.1016/j.aml.2019.106195 ◽

2020 ◽

Vol 103 ◽

pp. 106195

Author(s):

Shu Wang

Keyword(s):

Initial Data ◽

Stokes Equations ◽

Three Dimensional ◽

Navier Stokes ◽

Well Posedness ◽

Spherical Coordinates ◽

Large Initial Data ◽

Navier Stokes Equations

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Corrigendum to “Global classical solution to two-dimensional compressible Navier–Stokes equations with large data in R2” [Physica D 376/377 (2018) 180–194]

Physica D Nonlinear Phenomena ◽

10.1016/j.physd.2020.132726 ◽

2020 ◽

Vol 414 ◽

pp. 132726

Author(s):

Quansen Jiu ◽

Yi Wang ◽

Zhouping Xin

Keyword(s):

Classical Solution ◽

Stokes Equations ◽

Navier Stokes ◽

Two Dimensional ◽

Global Classical Solution ◽

Navier Stokes Equations

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