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.
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页数：21
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