Steady water waves with a critical layer

被引：136

作者：

Wahlen, Erik ^{[1
]}

机构：

[1] Lund Univ, Ctr Math Sci, S-22100 Lund, Sweden

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2009年 / 246卷 / 06期

关键词：

PARTICLE TRAJECTORIES; ARBITRARY DISTRIBUTION; PERIODIC CAPILLARY; VORTICITY; UNIQUENESS; BIFURCATION; SYMMETRY; STOKES; FLOWS;

D O I：

10.1016/j.jde.2008.10.005

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct small-amplitude steady periodic water waves with constant vorticity. Among these are certain waves with the property that in a frame moving with the wave there is a 'critical layer' with closed streamlines in the fluid. These waves, which do not exist in the irrotational setting, are studied in detail. In particular we give a full description of the particle paths. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：2468 / 2483

页数：16

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