On the decrease of kinetic energy with depth in wave-current interactions

被引：6
|
作者：
Aleman, A. [1 ]
Constantin, A. [2 ]
机构：
[1] Lund Univ, Fac Sci, Dept Math, POB 118, S-22100 Lund, Sweden
[2] Univ Vienna, Fac Math, Oskar Morgenstern Pl 1, A-1090 Vienna, Austria
来源：
MATHEMATISCHE ANNALEN | 2020年 / 378卷 / 3-4期
关键词：
WATER-WAVES; WELL-POSEDNESS; HAMILTONIAN-FORMULATION; WIND; EQUATIONS; BENEATH; FLOWS;
D O I：
10.1007/s00208-019-01910-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study wave-current interactions in two-dimensional water flows with constant vorticity over a flat bed. We establish decay rates for the velocity beneath spatially periodic surface waves without any restrictions on the wave amplitude. The approach relies on complex function theory and overcomes the intricacies inherent to nonlinear flow patterns by taking advantage of specific structural properties of the governing equations for water waves.
引用
收藏
页码：853 / 872
页数：20
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