ON THE INSTABILITY OF CERTAIN MOTIONS OF AN IDEAL INCOMPRESSIBLE FLUID

被引：41

作者：

LIFSCHITZ, A

机构：

[1] Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, Chicago

来源：

ADVANCES IN APPLIED MATHEMATICS | 1994年 / 15卷 / 04期

关键词：

D O I：

10.1006/aama.1994.1017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Short-wave instabilities in the general three-dimensional time-dependent flows of an ideal incompressible fluid are considered. A new geometrical optics equation for the perturbed vorticity amplitude is derived. It is shown that under certain conditions this equation can be solved explicitly. Using this observation a number of known instability conditions are obtained and some new ones are derived. (C) 1994 Academic Press, Inc.

引用

页码：404 / 436

页数：33

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