Nonlinear stability of rarefaction waves for one-dimensional compressible Navier-Stokes equations for a reacting mixture

被引：10

作者：

Xu, Zheng ^{[1
]}

Feng, Zefu ^{[1
]}

机构：

[1] South China Univ Technol, Sch Math, Guangzhou 510641, Guangdong, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2019年 / 70卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Compressible Navier-Stokes equations; Rarefaction waves; Reacting mixture; LARGE-TIME BEHAVIOR; CONTACT DISCONTINUITY; GLOBAL EXISTENCE; CAUCHY-PROBLEM; SHOCK-WAVES; GAS; SYSTEM; 1D; MOTION; FLOWS;

D O I：

10.1007/s00033-019-1201-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the long-time behavior toward rarefaction waves for the Cauchy problem to a one-dimensional Navier-Stokes equations for a reacting mixture. It is shown that under the condition adiabatic exponent is close to 1, the global stability is established. In this paper, the initial perturbation can be large.

引用

页数：21

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