Regularity of the Kelvin-Helmholtz problem for the Euler 2D equation

被引：23

作者：

Lebeau, G ^{[1
]}

机构：

[1] Ecole Polytech, Ctr Math, F-91128 Palaiseau, France

来源：

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2002年 / 8卷

关键词：

D O I：

10.1051/cocv:2002052

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We prove that for any solution u locally defined in time of the Kelvin{Helmholtz problem for the Euler 2d equation in the plane, then the curve of discontinuity of u and the density of the vortex sheet are analytic (under holder a priori estimates for the curve of discontinuity). We also give a partial result for a solution u defined in a half interval [O; T[.

引用

页码：801 / 825

页数：25

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