ON CONSTANT VORTICITY FLOWS BENEATH TWO-DIMENSIONAL SURFACE SOLITARY WAVES

被引：25
|
作者：
Stuhlmeier, Raphael [1 ]
机构：
[1] Univ Vienna, Fac Math, A-1090 Vienna, Austria
来源：
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2012年 / 19卷
关键词：
Euler equations; free boundary; solitary waves; vorticity; PERIODIC WATER-WAVES; TRAJECTORIES; REGULARITY; SYMMETRY;
D O I：
10.1142/S1402925112400049
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We demonstrate that, for a two-dimensional, steady, solitary wave profile, a flow of constant vorticity beneath the wave must likewise be steady and two-dimensional, and the vorticity will point in the direction orthogonal to that of wave propagation. Constant vorticity is the hallmark of a harmonic velocity field, and the simplified vorticity equation is used along with maximum principles to derive the results.
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页码：34 / 42
页数：9
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