Remark on stability of rarefaction waves to the one-dimensional compressible Navier-Stokes equations with density-dependent viscosity coefficient

Changsheng Dou; Quansen Jiu

doi:10.1002/mma.2781

Remark on stability of rarefaction waves to the one-dimensional compressible Navier-Stokes equations with density-dependent viscosity coefficient

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.2781 ◽

2013 ◽

Vol 37 (1) ◽

pp. 32-47

Author(s):

Changsheng Dou ◽

Quansen Jiu

Keyword(s):

Stokes Equations ◽

Viscosity Coefficient ◽

Navier Stokes ◽

Rarefaction Waves ◽

Navier Stokes Equations ◽

One Dimensional ◽

Density Dependent ◽

The One ◽

Dependent Viscosity

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Zero Dissipation Limit to Rarefaction Waves for the One-Dimensional Compressible Navier-Stokes Equations with Selected Density-Dependent Viscosity

Acta Mathematica Scientia ◽

10.1007/s10473-021-0514-5 ◽

2021 ◽

Vol 41 (5) ◽

pp. 1635-1658

Author(s):

Yifan Su ◽

Zhenhua Guo

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Rarefaction Waves ◽

Navier Stokes Equations ◽

One Dimensional ◽

Density Dependent ◽

The One ◽

Dependent Viscosity

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A Vacuum Problem for the One-Dimensional Compressible Navier–Stokes Equations with Density-Dependent Viscosity

Journal of Differential Equations ◽

10.1006/jdeq.2001.4140 ◽

2002 ◽

Vol 184 (1) ◽

pp. 163-184 ◽

Cited By ~ 91

Author(s):

Tong Yang ◽

Huijiang Zhao

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

One Dimensional ◽

Density Dependent ◽

The One ◽

Dependent Viscosity

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Stability of viscous shock waves for the one-dimensional compressible navier-stokes equations with density-dependent viscosity

Acta Mathematica Scientia ◽

10.1016/s0252-9602(15)30076-x ◽

2016 ◽

Vol 36 (1) ◽

pp. 34-48 ◽

Cited By ~ 9

Author(s):

Lin HE ◽

Shaojun TANG ◽

Tao WANG

Keyword(s):

Shock Waves ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

One Dimensional ◽

Density Dependent ◽

Viscous Shock Waves ◽

The One ◽

Dependent Viscosity

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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 ◽

Cited By ~ 39

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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One dimensional compressible Navier-Stokes equations with density-dependent viscosity and free boundaries

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2008.7.373 ◽

2008 ◽

Vol 7 (2) ◽

pp. 373-381 ◽

Cited By ~ 22

Author(s):

Xulong Qin ◽

◽

Zheng-An Yao ◽

Hongxing Zhao ◽

◽

...

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Free Boundaries ◽

Navier Stokes Equations ◽

One Dimensional ◽

Density Dependent ◽

Dependent Viscosity

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Asymptotic stability of the viscous shock wave for the one-dimensional compressible Navier–Stokes equations with density dependent viscous coefficient on the half space

Archiv der Mathematik ◽

10.1007/s00013-019-01358-x ◽

2019 ◽

Vol 113 (4) ◽

pp. 423-441

Author(s):

Jinjing Liu ◽

Meiying Cui

Keyword(s):

Shock Wave ◽

Asymptotic Stability ◽

Half Space ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

One Dimensional ◽

Density Dependent ◽

Viscous Shock Wave ◽

The One

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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 ◽

Cited By ~ 2

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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Vacuum Behaviors around Rarefaction Waves to 1D Compressible Navier--Stokes Equations with Density-Dependent Viscosity

SIAM Journal on Mathematical Analysis ◽

10.1137/120879919 ◽

2013 ◽

Vol 45 (5) ◽

pp. 3194-3228 ◽

Cited By ~ 14

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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Global well-posedness for the incompressible Navier–Stokes equations with density-dependent viscosity coefficient

Journal of Differential Equations ◽

10.1016/j.jde.2015.03.011 ◽

2015 ◽

Vol 259 (5) ◽

pp. 1722-1742 ◽

Cited By ~ 38

Author(s):

Jianwen Zhang

Keyword(s):

Stokes Equations ◽

Viscosity Coefficient ◽

Navier Stokes ◽

Well Posedness ◽

Navier Stokes Equations ◽

Density Dependent ◽

Dependent Viscosity

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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 ◽

Cited By ~ 4

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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