Analyticity of rotational traveling capillary-gravity waves with critical layers

被引：1

作者：

Wang, Ling-Jun ^{[1
]}

机构：

[1] Wuhan Univ Sci & Technol, Dept Math & Stat, Wuhan 430065, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2023年 / 227卷

基金：

中国国家自然科学基金;

关键词：

Rotational flow; Capillary-gravity traveling waves; Critical layer; Analyticity; PERIODIC WATER-WAVES; FREE-SURFACE; REGULARITY; STREAMLINES; STABILITY; EXISTENCE; SYMMETRY; BOUNDARY;

D O I：

10.1016/j.na.2022.113164

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish real analyticity of the free surface of a two-dimensional steady rotational flow of water with critical layers. The flow is acted upon by gravity and surface tension. We show that any W2,infinity loc-regular free surface is analytic provided the vorticity distribution is analytic. In particular, the surface of a water flow with constant vorticity is analytic. (c) 2022 Elsevier Ltd. All rights reserved.

引用

页数：18

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