A remark on the Cauchy problem of 1D compressible Navier-Stokes equations with density-dependent viscosity coefficients

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-011-0118-2 ◽

2011 ◽

Vol 30 (1) ◽

pp. 193-204 ◽

Author(s):

Jin-tao Wei ◽

Lin He ◽

Zhen-hua Guo

Keyword(s):

Cauchy Problem ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Density Dependent ◽

Viscosity Coefficients ◽

The Cauchy Problem ◽

Dependent Viscosity

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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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Global strong solutions of the Cauchy problem for 1D compressible Navier-Stokes equations with density-dependent viscosity

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-016-0631-4 ◽

2017 ◽

Vol 33 (1) ◽

pp. 25-34

Author(s):

Sheng-quan Liu ◽

Jun-ning Zhao

Keyword(s):

Cauchy Problem ◽

Stokes Equations ◽

Strong Solutions ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Density Dependent ◽

The Cauchy Problem ◽

Global Strong Solutions ◽

Dependent Viscosity

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Local well-posedness to the cauchy problem of the 3-D compressible navier-stokes equations with density-dependent viscosity

Acta Mathematica Scientia ◽

10.1016/s0252-9602(14)60055-2 ◽

2014 ◽

Vol 34 (3) ◽

pp. 851-871 ◽

Author(s):

Yulin YE ◽

Changsheng DOU ◽

Quansen JIU

Keyword(s):

Cauchy Problem ◽

Stokes Equations ◽

Navier Stokes ◽

Well Posedness ◽

Navier Stokes Equations ◽

Density Dependent ◽

The Cauchy Problem ◽

Dependent Viscosity

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Analytical solutions to the compressible Navier–Stokes equations with density-dependent viscosity coefficients and free boundaries

Journal of Differential Equations ◽

10.1016/j.jde.2012.03.023 ◽

2012 ◽

Vol 253 (1) ◽

pp. 1-19 ◽

Author(s):

Zhenhua Guo ◽

Zhouping Xin

Keyword(s):

Analytical Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Free Boundaries ◽

Navier Stokes Equations ◽

Density Dependent ◽

Viscosity Coefficients ◽

Dependent Viscosity

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Global Weak Solutions to One-dimensional Compressible Navier-Stokes Equations with Density-dependent Viscosity Coefficients

Journal of Partial Differential Equations ◽

10.4208/jpde.v23.n3.6 ◽

2010 ◽

Vol 23 (3) ◽

pp. 290-304 ◽

Author(s):

Li Wuming and Jiu Quansen

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Global Weak Solutions ◽

Navier Stokes Equations ◽

One Dimensional ◽

Density Dependent ◽

Viscosity Coefficients ◽

Dependent Viscosity

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Global existence and exponential decay of strong solutions to the cauchy problem of 3D density-dependent Navier-Stokes equations with vacuum

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2020163 ◽

2017 ◽

Vol 22 (11) ◽

pp. 0-0

Author(s):

Yang Liu ◽

◽

Keyword(s):

Cauchy Problem ◽

Global Existence ◽

Exponential Decay ◽

Stokes Equations ◽

Strong Solutions ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Density Dependent ◽

The Cauchy Problem

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Blowup of solutions for the compressible Navier–Stokes equations with density-dependent viscosity coefficients

Nonlinear Analysis ◽

10.1016/j.na.2013.07.025 ◽

2013 ◽

Vol 93 ◽

pp. 155-161

Author(s):

Zhilei Liang ◽

Xiaoding Shi

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Density Dependent ◽

Blowup Of Solutions ◽

Viscosity Coefficients ◽

Dependent Viscosity

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On global weak solutions to the Cauchy problem for the Navier–Stokes equations with largeL3-initial data

Nonlinear Analysis ◽

10.1016/j.na.2016.01.018 ◽

2017 ◽

Vol 154 ◽

pp. 269-296 ◽

Author(s):

G. Seregin ◽

V. Šverák

Keyword(s):

Cauchy Problem ◽

Initial Data ◽

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Global Weak Solutions ◽

Navier Stokes Equations ◽

The Cauchy Problem

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Stability of Rarefaction Waves to the 1D Compressible Navier–Stokes Equations with Density-Dependent Viscosity

Communications in Partial Differential Equations ◽

10.1080/03605302.2010.516785 ◽

2011 ◽

Vol 36 (4) ◽

pp. 602-634 ◽

Author(s):

Quansen Jiu ◽

Yi Wang ◽

Zhouping Xin

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Rarefaction Waves ◽

Navier Stokes Equations ◽

Density Dependent ◽

Dependent Viscosity

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Non-existence of Classical Solutions with Finite Energy to the Cauchy Problem of the Compressible Navier–Stokes Equations

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-018-1328-z ◽

2018 ◽

Vol 232 (2) ◽

pp. 557-590 ◽

Author(s):

Hai-Liang Li ◽

Yuexun Wang ◽

Zhouping Xin

Keyword(s):

Cauchy Problem ◽

Stokes Equations ◽

Finite Energy ◽

Navier Stokes ◽

Classical Solutions ◽

Navier Stokes Equations ◽

The Cauchy Problem

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