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.

引用

页码：363 / 371

页数：9

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