On temporal asymptotics for the pth power viscous reactive gas

被引：27

作者：

Lewicka, M

Mucha, PB ^{[1
]}

机构：

[1] Warsaw Univ, Inst Appl Math & Mech, Ul Banacha 2, PL-02097 Warsaw, Poland

[2] Univ Chicago, Dept Math, Chicago, IL 60637 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2004年 / 57卷 / 7-8期

关键词：

viscous reactive gas; pth power gas; temporal asymptotics;

D O I：

10.1016/j.na.2003.12.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the long time behaviour of solutions to the system governing a heat-conductive, viscous reactive pth power gas confined between two parallel plates. For initial-boundary value problems with the end-points held at a prescribed temperature or insulated, we prove the global existence of physically relevant solutions, and establish their rate of convergence to equilibria, for generic initial data. The estimates for different boundary conditions are presented in a unified manner. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：951 / 969

页数：19

共 17 条

[1]

[Anonymous], JAPAN J APPL MATH

[2]

Antontsev S.N., 1990, STUDIES MATH ITS APP, V22

[3] GLOBAL A PRIORI ESTIMATES FOR A VISCOUS REACTIVE GAS [J].