The rate of asymptotic convergence of strong detonations for a model problem

被引：3

作者：

Ying, LA ^{[1
]}

Yang, T

Zhu, CJ

机构：

[1] Peking Univ, Inst Math, Beijing 100871, Peoples R China

[2] City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China

[3] Cent China Normal Univ, Dept Math, Wuhan, Peoples R China

来源：

JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS | 1999年 / 16卷 / 03期

关键词：

combustion; detonation wave. travelling wave; asymptotic stability;

D O I：

10.1007/BF03167369

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that the strong detonation travelling waves for a viscous combustion model are nonlinearly stable, that is, for a given perturbation of a travelling wave, the solution converges to a shifted travelling wave asymptotically as t --> infinity. The rate of convergence is obtained. This work is a continuation of a previous work by done T.P. Liu and the first author in [7].

引用

页码：467 / 487

页数：21

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