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
收藏
页码：2468 / 2483
页数：16
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