The Hydrodynamical Relevance of the Camassa–Holm and Degasperis–Procesi Equations

被引：36
作者：
Adrian Constantin
David Lannes
机构：
[1] Trinity College,School of Mathematics
[2] Université Bordeaux I,undefined
[3] IMB and CNRS UMR 5251,undefined
来源：
Archive for Rational Mechanics and Analysis | 2009年 / 192卷
关键词：
Water Wave; Wave Breaking; Holm Equation; Maximal Existence Time; Plunging Breaker;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In recent years two nonlinear dispersive partial differential equations have attracted much attention due to their integrable structure. We prove that both equations arise in the modeling of the propagation of shallow water waves over a flat bed. The equations capture stronger nonlinear effects than the classical nonlinear dispersive Benjamin–Bona–Mahoney and Korteweg–de Vries equations. In particular, they accommodate wave breaking phenomena.
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页码：165 / 186
页数：21
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