Deep-water waves with vorticity: Symmetry and rotational behaviour

被引：11

作者：

Ehrnstrom, Mats ^{[1
]}

机构：

[1] Lund Univ, Ctr Math Sci, S-22100 Lund, Sweden

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2007年 / 19卷 / 03期

关键词：

symmetry; water waves; vorticity; nonlinear partial differential equation;

D O I：

10.3934/dcds.2007.19.483

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that for steady, periodic, and rotational gravity deep-water waves, a monotone surface profile between troughs and crests implies symmetry. It is observed that if the vorticity function has a bounded derivative, then it vanishes as one approaches great depths.

引用

收藏

页码：483 / 491

页数：9

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