On Symmetric Water Waves with Constant Vorticity

Kogelbauer Florian

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On Symmetric Water Waves with Constant Vorticity

机译：在具有恒定涡度的对称水波上

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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.

机译：我们证明了具有恒定涡度的重力水波问题的解，其波廓线及其在自由表面的水平速度分量在任何时刻都是对称的，由行波给出。该证明基于控制方程的最大原理和结构性质。

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来源
《Journal of nonlinear mathematical physics》 |2015年第4期|494-498|共5页
作者
Kogelbauer Florian;
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作者单位

Univ Vienna, Fac Math, A-1090 Vienna, Austria;

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原文格式 PDF
正文语种英语
中图分类理论物理学;
关键词
Travelling waves; constant vorticity; symmetry;

机译：行波;恒定涡度;对称;

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On Symmetric Water Waves with Constant Vorticity

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