Nonlinear stability of rarefaction waves for the compressible Navier–Stokes equations with zero heat conductivity

Nonlinear Analysis ◽

10.1016/j.na.2018.04.026 ◽

2018 ◽

Vol 174 ◽

pp. 242-277 ◽

Author(s):

Jiayi Hu ◽

Hui Yin

Keyword(s):

Nonlinear Stability ◽

Heat Conductivity ◽

Stokes Equations ◽

Navier Stokes ◽

Rarefaction Waves ◽

Navier Stokes Equations

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Nonlinear Stability of Strong Rarefaction Waves for Compressible Navier--Stokes Equations

SIAM Journal on Mathematical Analysis ◽

10.1137/s003614100342735x ◽

2004 ◽

Vol 35 (6) ◽

pp. 1561-1597 ◽

Author(s):

Kenji Nishihara ◽

Tong Yang ◽

Huijiang Zhao

Keyword(s):

Nonlinear Stability ◽

Stokes Equations ◽

Navier Stokes ◽

Rarefaction Waves ◽

Navier Stokes Equations

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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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Nonlinear stability of rarefaction waves for compressible Navier Stokes equations

Communications in Mathematical Physics ◽

10.1007/bf01466726 ◽

1988 ◽

Vol 118 (3) ◽

pp. 451-465 ◽

Author(s):

Tai-Ping Liu ◽

Zhouping Xin

Keyword(s):

Nonlinear Stability ◽

Stokes Equations ◽

Navier Stokes ◽

Rarefaction Waves ◽

Navier Stokes Equations

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Nonlinear stability of rarefaction waves for the compressible Navier-Stokes equations with large initial perturbation

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-08-04637-0 ◽

2008 ◽

Vol 361 (01) ◽

pp. 453-493 ◽

Author(s):

Ran Duan ◽

Hongxia Liu ◽

Huijiang Zhao

Keyword(s):

Nonlinear Stability ◽

Stokes Equations ◽

Initial Perturbation ◽

Navier Stokes ◽

Rarefaction Waves ◽

Navier Stokes Equations ◽

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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The initial value problem for the compressible Navier-Stokes equations without heat conductivity

Journal of Differential Equations ◽

10.1016/j.jde.2019.11.025 ◽

2020 ◽

Vol 268 (9) ◽

pp. 5469-5490 ◽

Author(s):

Qing Chen ◽

Zhong Tan ◽

Guochun Wu ◽

Weiyuan Zou

Keyword(s):

Heat Conductivity ◽

Initial Value Problem ◽

Stokes Equations ◽

Navier Stokes ◽

Initial Value ◽

Navier Stokes Equations

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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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Global strong solution to compressible Navier–Stokes equations with density dependent viscosity and temperature dependent heat conductivity

Journal of Differential Equations ◽

10.1016/j.jde.2017.01.007 ◽

2017 ◽

Vol 262 (8) ◽

pp. 4314-4335 ◽

Author(s):

Ran Duan ◽

Ai Guo ◽

Changjiang Zhu

Keyword(s):

Strong Solution ◽

Heat Conductivity ◽

Stokes Equations ◽

Navier Stokes ◽

Temperature Dependent ◽

Navier Stokes Equations ◽

Density Dependent ◽

Global Strong Solution ◽

Dependent Viscosity

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Nonlinear stability of viscous shock profiles for compressible Navier–Stokes equations with temperature-dependent transport coefficients and large initial perturbation

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-018-1026-6 ◽

2018 ◽

Vol 69 (6) ◽

Author(s):

Bingkang Huang ◽

Shaojun Tang ◽

Lan Zhang

Keyword(s):

Nonlinear Stability ◽

Stokes Equations ◽

Transport Coefficients ◽

Initial Perturbation ◽

Navier Stokes ◽

Temperature Dependent ◽

Navier Stokes Equations ◽

Shock Profiles ◽

Dependent Transport ◽

Large Initial Perturbation

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On globally large smooth solutions of full compressible Navier–Stokes equations with moving boundary and temperature-dependent heat-conductivity

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2021.103430 ◽

2022 ◽

Vol 64 ◽

pp. 103430

Author(s):

Yaobin Ou

Keyword(s):

Heat Conductivity ◽

Moving Boundary ◽

Stokes Equations ◽

Navier Stokes ◽

Smooth Solutions ◽

Temperature Dependent ◽

Navier Stokes Equations

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