Nonlinear instability in an ideal fluid

被引：120

作者：

Friedlander, S

Strauss, W

Vishik, M

机构：

[1] BROWN UNIV,DEPT MATH,PROVIDENCE,RI 02912

[2] UNIV TEXAS,DEPT MATH,AUSTIN,TX 78712

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 1997年 / 14卷 / 02期

基金：

美国国家科学基金会;

关键词：

Euler equations; essential spectrum;

D O I：

10.1016/S0294-1449(97)80144-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Linearized instability implies nonlinear instability under certain rather general conditions. This abstract theorem is applied to the Euler equations governing the motion of an inviscid fluid. In particular this theorem applies to all 2D space periodic flows without stagnation points as well as 2D space-periodic shear flows.

引用

页码：187 / 209

页数：23

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