Asymptotic Stability of a Plane CJ Detonation Wave
نویسنده
چکیده
We study the asymptotic stability of a plane CJ detonation wave under the assumption of small resolved heat release (SRHR). We prove that the solution exists globally and that the solution converges uniformly to a shifted CJ detonation wave as t! + 1 for initial data which are small perturbations of the CJ detonation wave. The weighted energy method is used to overcome the diiculty arising from the sonic property at the end of the reaction. The SRHR model allows us to treat the non-monotone spike in the proole of the CJ detonation wave by the characteristic energy estimate.
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