Variational formulations for steady water waves with vorticity

被引：90

作者：

Constantin, A ^{[1
]}

Sattinger, D

Strauss, W

机构：

[1] Univ Dublin Trinity Coll, Dept Math, Dublin 2, Ireland

[2] Yale Univ, Dept Math, New Haven, CT 06520 USA

[3] Brown Univ, Dept Math, Providence, RI 02912 USA

[4] Brown Univ, Lefschetz Ctr Dynam Syst, Providence, RI 02912 USA

来源：

JOURNAL OF FLUID MECHANICS | 2006年 / 548卷 / 151-163期

关键词：

D O I：

10.1017/S0022112005007469

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

For free-surface water flows with a vorticity that is monotone with depth, we show that any critical point of a functional representing the total energy of the flow adjusted with a measure of the vorticity, subject to the constraints of fixed mass and horizontal momentum, is a steady water wave.

引用

页码：151 / 163

页数：13

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