RELAXATION TO EQUILIBRIUM IN DIFFUSIVE-THERMAL MODELS WITH A STRONGLY VARYING DIFFUSION LENGTH-SCALE

被引：0

作者：

Clavin, Paul ^{[1
]}

Masse, Laurent ^{[2
]}

Roquejoffre, Jean-Michel ^{[3
]}

机构：

[1] CNRS, UMR 6594, IRPHE, F-75700 Paris, France

[2] CEA, Bruyeres Le Chatel, Ile De France, France

[3] Univ Toulouse 3, CNRS, UMR 5219, Inst Math, F-31062 Toulouse, France

来源：

COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2011年 / 9卷 / 01期

关键词：

Ablation front; relaxation; strongly varying diffusivity; FREE-BOUNDARY; REGULARITY; FRONTS; FLAMES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider reaction-diffusion equations with a strongly varying diffusion length-scale. We provide a mathematical study of the relaxation towards the steady planar solution, in the context of infinitesimal disturbances whose wavelength is much shorter than the total thickness of the wave. The models under study are relevant in the description of ablation fronts encountered in inertial confinment fusion, when hydrodynamical effects are neglected.

引用

页码：127 / 141

页数：15

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