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

Jinjing Liu; Meiying Cui

doi:10.1007/s00013-019-01358-x

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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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 ◽

Cited By ~ 3

Author(s):

Alexis F. Vasseur ◽

Lei Yao

Keyword(s):

Shock Wave ◽

Nonlinear Stability ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

One Dimensional ◽

Density Dependent ◽

Viscous Shock Wave

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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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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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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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Asymptotic Stability of a Viscous Contact Wave for the One-Dimensional Compressible Navier-Stokes Equations for a Reacting Mixture

Acta Mathematica Scientia ◽

10.1007/s10473-020-0503-0 ◽

2020 ◽

Vol 40 (5) ◽

pp. 1195-1214

Author(s):

Lishuang Peng

Keyword(s):

Asymptotic Stability ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

One Dimensional ◽

The One ◽

Contact Wave

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Comparison of numerical solutions of the Navier?Stokes equations and a kinetic model in the one-dimensional case

Fluid Dynamics ◽

10.1007/bf01089651 ◽

1980 ◽

Vol 15 (5) ◽

pp. 752-755 ◽

Cited By ~ 1

Author(s):

A. A. Makhmudov ◽

S. P. Popov

Keyword(s):

Kinetic Model ◽

Numerical Solutions ◽

Stokes Equations ◽

Dimensional Case ◽

Navier Stokes ◽

Navier Stokes Equations ◽

One Dimensional ◽

The One

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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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Perturbational finite volume scheme for the one-dimensional Navier-Stokes equations

Shock Waves ◽

10.1007/978-3-540-27009-6_182 ◽

2005 ◽

pp. 1181-1186

Author(s):

Y. Q. Shen ◽

Z. Gao ◽

G. W. Yang

Keyword(s):

Finite Volume ◽

Stokes Equations ◽

Navier Stokes ◽

Finite Volume Scheme ◽

Navier Stokes Equations ◽

One Dimensional ◽

Volume Scheme ◽

The One

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Global existence, uniqueness and exponential stability of solutions for the one-dimensional Navier–Stokes equations with capillarity

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2020.103222 ◽

2021 ◽

Vol 58 ◽

pp. 103222

Author(s):

Yuming Qin ◽

Jianlin Zhang ◽

Yang Wang ◽

Xing Su

Keyword(s):

Global Existence ◽

Exponential Stability ◽

Stokes Equations ◽

Navier Stokes ◽

Stability Of Solutions ◽

Navier Stokes Equations ◽

One Dimensional ◽

The One

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