ON THE SYMMETRY OF PERIODIC GRAVITY WATER WAVES WITH VORTICITY

被引：0
|
作者：
Matioc, Anca-Voichita [1 ]
Matioc, Bogdan-Vasile [1 ]
机构：
[1] Univ Vienna, Inst Math, A-1090 Vienna, Austria
来源：
DIFFERENTIAL AND INTEGRAL EQUATIONS | 2013年 / 26卷 / 1-2期
基金：
奥地利科学基金会;
关键词：
REGULARITY; ANALYTICITY;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the a priori symmetry of periodic gravity water waves with arbitrarily many crests and troughs, and general vorticity distributions. We show that if all the streamlines achieve their global minimum on the same vertical line, then the wave has exactly one trough and crest within a period, and is symmetric with respect to the vertical line containing the crest.
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页码：129 / 140
页数：12
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