A new formulation of the water wave problem for Stokes waves of constant vorticity

被引：8
|
作者：
Ehrnstrom, Mats [1 ]
机构：
[1] Lund Univ, Dept Math, S-22100 Lund, Sweden
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 339卷 / 01期
关键词：
steady water waves; vorticity; fomulation; surface; uniqueness; nonlinear partial differential equation;
D O I：
10.1016/j.jmaa.2007.07.022
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider steady symmetric gravity water waves on finite depth with constant vorticity and a monotone surface profile between crests and troughs. The problem is transformed into one concerning the vertical velocity. A representation formula for the stream function in terms of the surface and the vorticity is presented, and we show that the surface can be determined from the vertical velocity. (c) 2007 Elsevier Inc. All rights reserved.
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页码：636 / 643
页数：8
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