Tong Li
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|.
Submitted October 14, 1997. Published March 18, 1998.
Math Subject Classification: 35L65, 35B40, 35B50, 76L05, 76J20.
Key Words: Strong detonation, shock wave, traveling wave,
asymptotic behavior, weighted energy estimate.
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