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 ◽

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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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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Analytical solutions to the Navier–Stokes equations with density-dependent viscosity and with pressure

Journal of Mathematical Physics ◽

10.1063/1.3197860 ◽

2009 ◽

Vol 50 (8) ◽

pp. 083101 ◽

Author(s):

Ling Hei Yeung ◽

Yuen Manwai

Keyword(s):

Analytical Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Density Dependent ◽

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 ◽

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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Analytical solutions to the 1D compressible isothermal Navier–Stokes equations with density-dependent viscosity

Journal of Mathematical Physics ◽

10.1063/5.0067503 ◽

2021 ◽

Vol 62 (12) ◽

pp. 121503

Author(s):

Jianwei Dong ◽

Litao Zhang

Keyword(s):

Analytical Solutions ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

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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A remark on the Cauchy problem of 1D compressible Navier-Stokes equations with density-dependent viscosity coefficients

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-011-0118-2 ◽

2011 ◽

Vol 30 (1) ◽

pp. 193-204 ◽

Author(s):

Jin-tao Wei ◽

Lin He ◽

Zhen-hua Guo

Keyword(s):

Cauchy Problem ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Density Dependent ◽

Viscosity Coefficients ◽

The Cauchy Problem ◽

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 ◽

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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Asymptotic Behavior of Compressible Navier-Stokes Equations with Density-Dependent Viscosity and Vacuum

Communications in Mathematical Physics ◽

10.1007/s00220-009-0914-1 ◽

2009 ◽

Vol 293 (1) ◽

pp. 279-299 ◽

Author(s):

Changjiang Zhu

Keyword(s):

Asymptotic Behavior ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Density Dependent ◽

Dependent Viscosity

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Global classical solution to the cauchy problem of the 3-D compressible Navier-Stokes equations with density-dependent viscosity

Acta Mathematica Scientia ◽

10.1016/s0252-9602(16)30078-9 ◽

2016 ◽

Vol 36 (5) ◽

pp. 1419-1432 ◽

Author(s):

Yulin YE

Keyword(s):

Cauchy Problem ◽

Classical Solution ◽

Stokes Equations ◽

Navier Stokes ◽

Global Classical Solution ◽

Navier Stokes Equations ◽

Density Dependent ◽

The Cauchy Problem ◽

Dependent Viscosity

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Boundary layers for compressible Navier–Stokes equations with density-dependent viscosity and cylindrical symmetry

Annales de l Institut Henri Poincaré C Analyse non linéaire ◽

10.1016/j.anihpc.2011.04.006 ◽

2011 ◽

Vol 28 (5) ◽

pp. 677-709 ◽

Author(s):

Lei Yao ◽

Ting Zhang ◽

Changjiang Zhu

Keyword(s):

Boundary Layers ◽

Stokes Equations ◽

Cylindrical Symmetry ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Density Dependent ◽

Dependent Viscosity

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