Existence and uniqueness of global classical solutions to 3D isentropic compressible Navier-Stokes equations with general initial data

Science China Mathematics ◽

10.1007/s11425-013-4717-7 ◽

2013 ◽

Vol 57 (7) ◽

pp. 1463-1478 ◽

Author(s):

PeiXin Zhang ◽

JunNing Zhao

Keyword(s):

Initial Data ◽

Existence And Uniqueness ◽

Stokes Equations ◽

Navier Stokes ◽

Classical Solutions ◽

Navier Stokes Equations ◽

General Initial Data ◽

Global Classical Solutions

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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 solutions to 1D full compressible Navier–Stokes equations with the Robin boundary condition on temperature

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2018.11.004 ◽

2019 ◽

Vol 47 ◽

pp. 306-323

Author(s):

Peixin Zhang ◽

Changjiang Zhu

Keyword(s):

Boundary Condition ◽

Stokes Equations ◽

Robin Boundary Condition ◽

Navier Stokes ◽

Classical Solutions ◽

Navier Stokes Equations ◽

Global Classical Solutions ◽

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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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On global classical solutions to 1D compressible Navier‐Stokes equations with density‐dependent viscosity and vacuum

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6255 ◽

2020 ◽

Vol 43 (8) ◽

pp. 5127-5150

Author(s):

Boqiang Lü ◽

Yixuan Wang ◽

Yuhang Wu

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Classical Solutions ◽

Navier Stokes Equations ◽

Density Dependent ◽

Global Classical Solutions ◽

Dependent Viscosity

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Global Well-posedness of Classical Solutions with Large Initial Data to the Two-dimensional Isentropic Compressible Navier-Stokes Equations

Journal of Partial Differential Equations ◽

10.4208/jpde.v27.n2.5 ◽

2014 ◽

Vol 27 (2) ◽

pp. 143-157 ◽

Author(s):

Zhang Peixin

Keyword(s):

Initial Data ◽

Stokes Equations ◽

Navier Stokes ◽

Classical Solutions ◽

Well Posedness ◽

Two Dimensional ◽

Large Initial Data ◽

Navier Stokes Equations

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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 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 solutions to the 3D isentropic compressible Navier–Stokes equations in a bounded domain

Nonlinearity ◽

10.1088/1361-6544/aa4f4c ◽

2016 ◽

Vol 30 (1) ◽

pp. 361-381 ◽

Author(s):

Haibo Yu ◽

Junning Zhao

Keyword(s):

Bounded Domain ◽

Stokes Equations ◽

Navier Stokes ◽

Classical Solutions ◽

Navier Stokes Equations ◽

Global Classical Solutions

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Global classical solutions for the 2D four-component chemotaxis-Navier-Stokes equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.125338 ◽

2021 ◽

pp. 125338

Author(s):

Yaxin Du ◽

Qian Zhang

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Classical Solutions ◽

Navier Stokes Equations ◽

Global Classical Solutions

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Global classical solutions for 3D compressible Navier–Stokes equations with vacuum and a density-dependent viscosity coefficient

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2012.12.056 ◽

2013 ◽

Vol 401 (2) ◽

pp. 795-810 ◽

Author(s):

Shengquan Liu ◽

Jianwen Zhang ◽

Junning Zhao

Keyword(s):

Stokes Equations ◽

Viscosity Coefficient ◽

Navier Stokes ◽

Classical Solutions ◽

Navier Stokes Equations ◽

Density Dependent ◽

Global Classical Solutions ◽

Dependent Viscosity

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