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 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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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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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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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 ◽

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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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 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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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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Stability of viscous contact wave for compressible Navier-Stokes equations with a large initial perturbation

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-015-0460-x ◽

2015 ◽

Vol 31 (1) ◽

pp. 191-212 ◽

Author(s):

Hakho Hong

Keyword(s):

Stokes Equations ◽

Initial Perturbation ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Large Initial Perturbation ◽

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The optimal upper and lower bounds of convergence rates for the 3D Navier–Stokes equations under large initial perturbation

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2017.10.047 ◽

2018 ◽

Vol 459 (1) ◽

pp. 437-452

Author(s):

Yan Jia ◽

Qianqian Xie ◽

Wenjuan Wang

Keyword(s):

Lower Bounds ◽

Convergence Rates ◽

Stokes Equations ◽

Initial Perturbation ◽

Upper And Lower Bounds ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Large Initial Perturbation

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