Analyticity of rotational traveling capillary-gravity waves with critical layers

被引：0
|
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.
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