Nonlinear stability of viscous shock wave to one-dimensional compressible isentropic Navier–Stokes equations with density dependent viscous coefficient

Communications in Mathematical Sciences ◽

10.4310/cms.2016.v14.n8.a5 ◽

2016 ◽

Vol 14 (8) ◽

pp. 2215-2228 ◽

Author(s):

Alexis F. Vasseur ◽

Lei Yao

Keyword(s):

Nonlinear Stability ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

One Dimensional ◽

Density Dependent ◽

Viscous Shock Wave

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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):

Asymptotic Stability ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

One Dimensional ◽

Density Dependent ◽

Viscous Shock Wave ◽

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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 ◽

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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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 ◽

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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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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Global nonlinear stability of rarefaction waves for compressible Navier-Stokes equations with temperature and density dependent transport coefficients

Kinetic and Related Models ◽

10.3934/krm.2016004 ◽

2016 ◽

Vol 9 (3) ◽

pp. 469-514 ◽

Author(s):

Bingkang Huang ◽

Lusheng Wang ◽

Qinghua Xiao

Keyword(s):

Nonlinear Stability ◽

Stokes Equations ◽

Transport Coefficients ◽

Navier Stokes ◽

Rarefaction Waves ◽

Navier Stokes Equations ◽

Density Dependent ◽

Dependent Transport

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Stability of viscous shock wave for compressible Navier-Stokes equations with free boundary

Kinetic and Related Models ◽

10.3934/krm.2010.3.409 ◽

2010 ◽

Vol 3 (3) ◽

pp. 409-425 ◽

Author(s):

Feimin Huang ◽

◽

Xiaoding Shi ◽

Yi Wang ◽

Keyword(s):

Free Boundary ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Viscous Shock Wave

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Nonlinear stability of composite waves for one-dimensional compressible Navier–Stokes equations for a reacting mixture

Communications in Mathematical Sciences ◽

10.4310/cms.2020.v18.n7.a7 ◽

2020 ◽

Vol 18 (7) ◽

pp. 1977-2004

Author(s):

Zefu Feng ◽

Mei Zhang ◽

Changjiang Zhu

Keyword(s):

Nonlinear Stability ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

One Dimensional

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Nonlinear stability of viscous shock waves for one-dimensional nonisentropic compressible Navier–Stokes equations with a class of large initial perturbation

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30797-5 ◽

2018 ◽

Vol 38 (3) ◽

pp. 973-1000 ◽

Author(s):

Shaojun TANG ◽

Lan ZHANG

Keyword(s):

Shock Waves ◽

Nonlinear Stability ◽

Stokes Equations ◽

Initial Perturbation ◽

Navier Stokes ◽

Navier Stokes Equations ◽

One Dimensional ◽

Viscous Shock Waves ◽

Large Initial Perturbation

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Nonlinear stability of rarefaction waves for one-dimensional compressible Navier–Stokes equations for a reacting mixture

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-019-1201-4 ◽

2019 ◽

Vol 70 (5) ◽

Author(s):

Zheng Xu ◽

Zefu Feng

Keyword(s):

Nonlinear Stability ◽

Stokes Equations ◽

Navier Stokes ◽

Rarefaction Waves ◽

Navier Stokes Equations ◽

One Dimensional

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