Nonlinear stability of strong detonation waves for a dissipative model

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:151

Article

Ying, LA ; Yang, T ; Zhu, CJ

关键词: combustion;    detonation wave;    travelling wave;    asymptotic stability;   

DOI  :  10.1006/jdeq.1998.3512

来源: Elsevier

【 摘 要 】

We study the asymptotic behavior of solutions to a combustion model which contains the effect of convection, viscosity, chemical reaction, and diffusion. It is proved that if a perturbation of a travelling strong detonation wave is small, then the solution to this system converges to a strong detonation wave, which is the original one with a shift, as t --> infinity. The rate of convergence is also estimated. (C) 1999 Academic Press.

【 授权许可】

Free