On the transition to instability for compressible vortex sheets

被引：9
|
作者：
Coulombel, JF
Secchi, P
机构：
[1] CNRS, F-59655 Villeneuve Dascq, France
[2] Lab Paul Painleve, F-59655 Villeneuve Dascq, France
[3] Fac Ingn, Dipartimento Matemat, I-25123 Brescia, Italy
来源：
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2004年 / 134卷
关键词：
D O I：
10.1017/S0308210500003528
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the linear stability of a vortex sheet in a limit case that corresponds to a transition between a weakly stable regime and a violently unstable regime. We prove an energy estimate that reflects the high degeneracy of the uniform Kreiss-Lopatinskii condition.
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页码：885 / 892
页数：8
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