Nonlinear stability of traveling wave solutions for the compressible fluid models of Korteweg type

被引：26

作者：

Chen, Zhengzheng ^{[1
]}

He, Lin ^{[2
]}

Zhao, Huijiang ^{[2
]}

机构：

[1] Anhui Univ, Sch Math Sci, Hefei 230601, Peoples R China

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 422卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Navier-Stokes-Korteweg system; Traveling wave solutions; Nonlinear stability; L-2-energy estimates; NAVIER-STOKES EQUATIONS; VISCOUS SHOCK-WAVES; ASYMPTOTIC STABILITY; CONSERVATION-LAWS; VANDERWAALS FLUID; SYSTEM; BOUNDARY; EXISTENCE; GAS;

D O I：

10.1016/j.jmaa.2014.09.050

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the existence and time-asymptotic nonlinear stability of traveling wave solutions to the Cauchy problem of the one-dimensional compressible fluid models of Korteweg type, which governs the motions of the compressible fluids with internal capillarity. The existence of traveling wave solutions is obtained by the phase plane analysis, then the traveling wave solution is shown to be asymptotically stable by the elementary L-2-energy method. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：1213 / 1234

页数：22

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