On Symmetric Water Waves with Constant Vorticity

被引：0

作者：

Florian Kogelbauer

机构：

[1] University of Vienna,Faculty of Mathematics

来源：

Journal of Nonlinear Mathematical Physics | 2015年 / 22卷

关键词：

Travelling waves; constant vorticity; symmetry; 35Q31; 42B37; 76B15;

D O I：

暂无

中图分类号：

学科分类号：

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：4

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