ON THE RIEMANN PROBLEM FOR A COMBUSTION MODEL

被引：13

作者：

LI, T ^{[1
]}

机构：

[1] NYU,COURANT INST MATH SCI,NEW YORK,NY 10012

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1993年 / 24卷 / 01期

关键词：

DETONATION; CONSERVATION LAW; CHARACTERISTIC; MAXIMUM PRINCIPLE; SHOCK WAVE; TRAVELING WAVE; ASYMPTOTIC BEHAVIOR;

D O I：

10.1137/0524005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studies the Riemann problem for a combustion model and proves that the solution exists globally and the solution converges uniformly, away from the shock, to a travelling wave solution as t --> +infinity. The results are obtained by using the method of characteristics, a maximum principle and that the equation is a nonlinear conservation law.

引用

页码：59 / 75

页数：17

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