Asymptotic stability of planar rarefaction wave to 3D radiative hydrodynamics

被引：9

作者：

Huang, Bingkang ^{[1
]}

Zhang, Lan ^{[2
,3
]}

机构：

[1] Hefei Univ Technol, Sch Math, Hefei 230009, Anhui, Peoples R China

[2] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China

[3] Wuhan Univ, Computat Sci Hubei Key Lab, Wuhan 430072, Hubei, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2019年 / 46卷

关键词：

3d radiative hydrodynamics; Rarefaction waves; Asymptotic stability; VISCOUS CONSERVATION-LAWS; NONLINEAR STABILITY; MODEL SYSTEM; CONTACT WAVE; GAS; EQUATIONS; DECAY; COMBINATION; BEHAVIOR;

D O I：

10.1016/j.nonrwa.2018.09.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We are concerned with the large-time behavior of the planar rarefaction wave for the 3d radiative hydrodynamics. We show the nonlinear stability of the planar rarefaction wave in two cases. For the one, the viscosity coefficient mu and transport coefficient kappa are positive constant and the proof is motivated by Li et al. (2018). For another, we neglect the transport coefficient kappa. It is crucial to use the symmetrization of quasi-linear form of the perturbation system (4.42). (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：43 / 57

页数：15

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