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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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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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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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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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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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 composite waves for one-dimensional compressible Navier–Stokes equations for a reacting mixture

Communications in Mathematical Sciences ◽

10.4310/cms.2020.v18.n7.a7 ◽

2020 ◽

Vol 18 (7) ◽

pp. 1977-2004

Author(s):

Zefu Feng ◽

Mei Zhang ◽

Changjiang Zhu

Keyword(s):

Nonlinear Stability ◽

Stokes Equations ◽

Navier Stokes ◽

Navier Stokes Equations ◽

One Dimensional

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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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Vanishing Viscosity Limit to Rarefaction Waves for the Navier--Stokes Equations of One-Dimensional Compressible Heat-Conducting Fluids

SIAM Journal on Mathematical Analysis ◽

10.1137/050626478 ◽

2006 ◽

Vol 38 (2) ◽

pp. 368-384 ◽

Author(s):

Song Jiang ◽

Guoxi Ni ◽

Wenjun Sun

Keyword(s):

Stokes Equations ◽

Navier Stokes ◽

Heat Conducting ◽

Rarefaction Waves ◽

Navier Stokes Equations ◽

Vanishing Viscosity Limit ◽

One Dimensional ◽

Viscosity Limit ◽

Heat Conducting Fluids ◽

Conducting Fluids

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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 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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