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

Tong Yang; Huijiang Zhao

doi:10.1006/jdeq.2001.4140

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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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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Free boundary value problem for the one-dimensional compressible Navier-Stokes equations with density-dependent viscosity

Applicable Analysis ◽

10.1080/00036811.2013.852662 ◽

2013 ◽

Vol 93 (9) ◽

pp. 1895-1908

Author(s):

Ruxu Lian ◽

Zigao Chen

Keyword(s):

Free Boundary ◽

Boundary Value Problem ◽

Stokes Equations ◽

Boundary Value ◽

Navier Stokes ◽

Free Boundary Value Problem ◽

Navier Stokes Equations ◽

One Dimensional ◽

The One ◽

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 ◽

Cited By ~ 1

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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Remarks on one-dimensional Compressible Navier-Stokes equations with density-dependent viscosity and vacuum

Acta Mathematica Sinica English Series ◽

10.1007/s10114-009-7559-z ◽

2009 ◽

Vol 26 (10) ◽

pp. 2015-2030 ◽

Cited By ~ 14

Author(s):

Zhen Hua Guo ◽

Chang Jiang Zhu

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

One Dimensional ◽

Density Dependent ◽

Dependent Viscosity

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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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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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