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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