Analyticity of the streamlines and of the free surface for periodic equatorial gravity water flows with vorticity

被引：8

作者：

Martin, Calin Iulian ^{[1
]}

机构：

[1] Univ Wien, Inst Math, A-1090 Vienna, Austria

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2015年 / 21卷

关键词：

General vorticity; Equatorial gravity waves; Regularity of solutions; WAVES; REGULARITY; SYMMETRY; EXISTENCE;

D O I：

10.1016/j.nonrwa.2014.06.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove analyticity of the streamlines beneath the surface and the smoothness of the free surface for geophysical equatorial water flows with a general Holder continuously differentiable underlying vorticity distribution under the assumption of no stagnation points in the flow. Moreover, we prove that the real-analyticity of the vorticity function implies the real-analyticity of the free surface. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：27 / 33

页数：7

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[3]

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