Li, Tong2019-03-252019-03-251998-03-18Li, T. (1998). Stability of strong detonation waves and rates of convergence. <i>Electronic Journal of Differential Equations, 1998</i>(09), pp. 1-17.1072-6691https://hdl.handle.net/10877/7937In 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|.Text17 pages1 file (.pdf)enAttribution 4.0 InternationalStrong detonationShock waveTraveling waveAsymptotic behaviorWeighted energy estimateArticle