A Hamiltonian Formulation of Water Waves with Constant Vorticity

被引：0
|
作者：
Erik Wahlén
机构：
[1] Lund University,Department of Mathematics
来源：
Letters in Mathematical Physics | 2007年 / 79卷
关键词：
35Q35; 37K05; 76B15; water waves; constant vorticity; hamiltonian formulation;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We show that the governing equations for two-dimensional water waves with constant vorticity can be formulated as a canonical Hamiltonian system, in which one of the canonical variables is the surface elevation. This generalizes the well-known formulation due to Zakharov [32] in the irrotational case.
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页码：303 / 315
页数：12
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