Viscous vortex patches

被引：47

作者：

Danchin, R ^{[1
]}

机构：

[1] UNIV PARIS 06,ANAL NUMER LAB,F-75252 PARIS,FRANCE

来源：

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 1997年 / 76卷 / 07期

关键词：

D O I：

10.1016/S0021-7824(97)89964-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Here we investigate the inviscid limit for two dimensional incompressible Navier-Stokes equations when the initial data have striated vorticity (smooth vortex patches for instance). Using uniform estimates for transport-diffusion equations yields independent of the viscosity estimates for the lipschitzian norm of the velocity field. This entails a result of strong convergence for solutions with striated vorticity (thus for vortex patches) when viscosity tends to 0.

引用

页码：609 / 647

页数：39

共 14 条

[1] REMARKS ON THE INSTABILITY OF THE PROBLEM OF VORTEX PATCHES [J].