On Symmetric Water Waves with Constant Vorticity

被引：1

作者：

Kogelbauer, Florian ^{[1
]}

机构：

[1] Univ Vienna, Fac Math, A-1090 Vienna, Austria

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2015年 / 22卷 / 04期

基金：

欧洲研究理事会;

关键词：

Travelling waves; constant vorticity; symmetry; LARGE-AMPLITUDE; STEADY;

D O I：

10.1080/14029251.2015.1113044

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that a solution to the gravity water wave problem with constant vorticity, whose wave profile as well as its horizontal velocity component at the free surface are symmetric at any instant of time, is given by a traveling wave. The proof is based on maximum principles and structural properties of the governing equations.

引用

页码：494 / 498

页数：5

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