Particle trajectories in solitary water waves

被引：417

作者：

Constantin, Adrian ^{[1
]}

Escher, Joachim

机构：

[1] Univ Dublin Trinity Coll, Dublin 2, Ireland

[2] Lund Univ, Dept Math, S-22100 Lund, Sweden

[3] Leibniz Univ Hannover, Inst Angew Math, D-30167 Hannover, Germany

来源：

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY | 2007年 / 44卷 / 03期

关键词：

solitary wave; potential flow; particle trajectory;

D O I：

10.1090/S0273-0979-07-01159-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Analyzing a free boundary problem for harmonic functions in an infinite planar domain, we prove that in a solitary water wave each particle is transported in the wave direction but slower than the wave speed. As the solitary wave propagates, all particles located ahead of the wave crest are lifted, while those behind it experience a downward motion, with the particle trajectory having asymptotically the same height above the flat bed.

引用

页码：423 / 431

页数：9

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