Nonlinear Stability of Strong Detonation Waves for a Dissipative Model

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Detail(s)

Original languageEnglish
Pages (from-to)134-160
Journal / PublicationJournal of Differential Equations
Volume151
Issue number1
Publication statusPublished - 1 Jan 1999

Abstract

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, ast→∞. The rate of convergence is also estimated. © 1999 Academic Press.

Research Area(s)

  • Combustion

Citation Format(s)

Nonlinear Stability of Strong Detonation Waves for a Dissipative Model. / Ying, Lung-An; Yang, Tong; Zhu, Changjiang.
In: Journal of Differential Equations, Vol. 151, No. 1, 01.01.1999, p. 134-160.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review