On Whitham and Related Equations

被引：50

作者：

Klein, Christian ^{[1
]}

Linares, Felipe

Pilod, Didier

Saut, Jean-Claude

机构：

[1] Univ Bourgogne Franche Comte, Inst Math Bourgogne, UMR 5584, 9 Ave Alain Savary, F-21078 Dijon, France

来源：

STUDIES IN APPLIED MATHEMATICS | 2018年 / 140卷 / 02期

关键词：

KORTEWEG-DE-VRIES; SOLITARY-WAVE SOLUTIONS; SURFACE-WATER WAVES; BLOW-UP; DISPERSIVE PERTURBATIONS; BENJAMIN-ONO; MODEL; STABILITY; POSEDNESS; EXISTENCE;

D O I：

10.1111/sapm.12194

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to study, via theoretical analysis and numerical simulations, the dynamics of Whitham and related equations. In particular, we establish rigorous bounds between solutions of the Whitham and Korteweg-de Vries equations and provide some insights into the dynamics of the Whitham equation in different regimes, some of them being outside the range of validity of the Whitham equation as a water waves model.

引用

页码：133 / 177

页数：45

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