Two-dimensional steady edge waves. Part I: Periodic waves

被引：10
|
作者：
Ehrnstroem, Mats [1 ]
Escher, Joachim [1 ]
Matioc, Bogdan-Vasile [1 ]
机构：
[1] Leibniz Univ Hannover, Inst Angew Math, D-30167 Hannover, Germany
来源：
WAVE MOTION | 2009年 / 46卷 / 06期
关键词：
Existence; Uniqueness; A priori estimates; Water waves; Edge waves; Periodic solutions; DEEP-WATER WAVES; BOUNDARY-PROBLEM; CAMASSA-HOLM; SYMMETRY; TRAJECTORIES; EXISTENCE; BREAKING;
D O I：
10.1016/j.wavemoti.2009.06.002
中图分类号：
O42 [声学];
学科分类号：
070206 ; 082403 ;
摘要：
We prove existence and uniqueness for two-dimensional steady water waves propagating along the beach. For small periodic shoreline data, global solutions vanishing in the seaward direction are found. In addition, we prove a priori properties of solutions, well-adapted to the physical background. (C) 2009 Elsevier B. V. All rights reserved.
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页码：363 / 371
页数：9
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