Stability of ZND detonation waves in the Majda combustion model

被引：0
|
作者：
Roquejoffre, JM
Vila, JP
机构：
[1] Univ Toulouse 3, CNRS, UMR 5640, UFR MIG, F-31062 Toulouse, France
[2] Inst Natl Sci Appl, CNRS, UMR 5640, Dept GMM, F-31077 Toulouse, France
来源：
ASYMPTOTIC ANALYSIS | 1998年 / 18卷 / 3-4期
关键词：
D O I：
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中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is the first of a series aimed at deriving uniform stability results for strong ZND - Zeldovich-Neumann-Doring - detonation waves, in the context of singular perturbations. In this work, the Majda and Majda-Rosales models with small viscosity are examined, and a dispersion relation accounting for the linear stability of the wave is derived, by means of matched asymptotics. A rigorous justification follows, in which the main difficulty is a uniform spectral estimate.
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页码：329 / 348
页数：20
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