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 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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Nonlinear stability of viscous shock waves for one-dimensional nonisentropic compressible Navier–Stokes equations with a class of large initial perturbation

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30797-5 ◽

2018 ◽

Vol 38 (3) ◽

pp. 973-1000 ◽

Author(s):

Shaojun TANG ◽

Lan ZHANG

Keyword(s):

Shock Waves ◽

Nonlinear Stability ◽

Stokes Equations ◽

Initial Perturbation ◽

Navier Stokes ◽

Navier Stokes Equations ◽

One Dimensional ◽

Viscous Shock Waves ◽

Large Initial Perturbation

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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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Stability of stationary solutions to the outflow problem for full compressible Navier–Stokes equations with large initial perturbation

Nonlinearity ◽

10.1088/0951-7715/29/4/1329 ◽

2016 ◽

Vol 29 (4) ◽

pp. 1329-1354 ◽

Author(s):

Ling Wan ◽

Tao Wang ◽

Qingyang Zou

Keyword(s):

Stokes Equations ◽

Initial Perturbation ◽

Stationary Solutions ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Large Initial Perturbation

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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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Inflow problem for the one-dimensional compressible Navier–Stokes equations under large initial perturbation

Journal of Differential Equations ◽

10.1016/j.jde.2014.07.001 ◽

2014 ◽

Vol 257 (10) ◽

pp. 3521-3553 ◽

Author(s):

Lili Fan ◽

Hongxia Liu ◽

Tao Wang ◽

Huijiang Zhao

Keyword(s):

Stokes Equations ◽

Initial Perturbation ◽

Navier Stokes ◽

Navier Stokes Equations ◽

One Dimensional ◽

Inflow Problem ◽

The One ◽

Large Initial Perturbation

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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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Stability of Stationary Solutions to the Inflow Problem for Full Compressible Navier--Stokes Equations with a Large Initial Perturbation

SIAM Journal on Mathematical Analysis ◽

10.1137/16m108536x ◽

2017 ◽

Vol 49 (3) ◽

pp. 2138-2166 ◽

Author(s):

Hakho Hong ◽

Teng Wang

Keyword(s):

Stokes Equations ◽

Initial Perturbation ◽

Stationary Solutions ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Inflow Problem ◽

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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