Stability of Strong Detonation Waves and Rates of Convergence

Date

1998-03-18

Authors

Li, Tong

Journal Title

Journal ISSN

Volume Title

Publisher

Southwest Texas State University, Department of Mathematics

Abstract

In this article, we prove stability of strong detonation waves and find their rate of convergence for a combustion model. Our results read as follows: I) There exists a global solution that converges exponentially in time to a strong detonation wave, provided that the initial data is a small perturbation of a strong detonation wave that decays exponentially in |x|. II) When the initial perturbation decays algebraically in |x|, the solution converges algebraically in time. That is, the perturbation decays in t as `fast' as the initial perturbation decays in |x|.

Description

Keywords

Strong detonation, Shock wave, Traveling wave, Asymptotic behavior, Weighted energy estimate

Citation

Li, T. (1998). Stability of strong detonation waves and rates of convergence. <i>Electronic Journal of Differential Equations, 1998</i>(09), pp. 1-17.

Rights

Attribution 4.0 International

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