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