Exact steady periodic water waves with vorticity

被引：376
作者：
Constantin, A
Strauss, W
机构：
[1] Lund Univ, Dept Math, S-22100 Lund, Sweden
[2] Brown Univ, Dept Math, Lefschetz Ctr Dynam Syst, Providence, RI 02912 USA
来源：
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 2004年 / 57卷 / 04期
关键词：
D O I：
10.1002/cpa.3046
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the classical water wave problem described by the Euler equations with a free surface under the influence of gravity over a flat bottom. We construct two-dimensional inviscid periodic traveling waves with vorticity. They are symmetric waves whose profiles are monotone between each crest and trough. We use bifurcation and degree theory to construct a global connected set of such solutions. (C) 2004 Wiley Periodicals, Inc.
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页码：481 / 527
页数：47
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