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

Li Wuming and Jiu Quansen

doi:10.4208/jpde.v23.n3.6

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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Global Weak Solutions to 1D Compressible Isentropic Navier-Stokes Equations with Density-Dependent Viscosity

Methods and Applications of Analysis ◽

10.4310/maa.2005.v12.n3.a2 ◽

2005 ◽

Vol 12 (3) ◽

pp. 239-252 ◽

Cited By ~ 41

Author(s):

Song Jiang ◽

Zhouping Xin ◽

Ping Zhang

Keyword(s):

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Global Weak Solutions ◽

Navier Stokes Equations ◽

Density Dependent ◽

Dependent Viscosity

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Global weak solutions and asymptotic behavior to 1D compressible Navier–Stokes equations with density-dependent viscosity and vacuum

Journal of Differential Equations ◽

10.1016/j.jde.2010.03.005 ◽

2010 ◽

Vol 248 (11) ◽

pp. 2768-2799 ◽

Cited By ~ 26

Author(s):

Zhenhua Guo ◽

Changjiang Zhu

Keyword(s):

Asymptotic Behavior ◽

Weak Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Global Weak Solutions ◽

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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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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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 ◽

Cited By ~ 9

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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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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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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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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