Geodesic
Stability of strong detonation waves and rates of convergence
Electronic Journal of Differential Equations, Tome 1998 (1998).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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|.
Classification : 35L65, 35B40, 35B50, 76L05, 76J20
Keywords: strong detonation, shock wave, traveling wave, asymptotic behavior, weighted energy estimate 
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     author = {Li, Tong},
     title = {Stability of strong detonation waves and rates of convergence},
     journal = {Electronic Journal of Differential Equations},
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     volume = {1998},
     year = {1998},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_1998__1998__a14/}
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Li, Tong. Stability of strong detonation waves and rates of convergence. Electronic Journal of Differential Equations, Tome 1998 (1998). http://geodesic.mathdoc.fr/item/EJDE_1998__1998__a14/