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.

引用

页码：34 / 42

页数：9

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