%0 Journal Article
%T Stability of strong detonation waves and rates of convergence
%A Tong Li
%J Electronic Journal of Differential Equations
%D 1998
%I Texas State University
%X 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|.
%K Strong detonation
%K shock wave
%K traveling wave
%K asymptotic behavior
%K weighted energy estimate.
%U http://ejde.math.txstate.edu/Volumes/1998/09/abstr.html