EXACT THEORY OF EXISTENCE AND STABILITY FOR TWO- AND THREE-DIMENSIONAL SOLITARY WAVES

被引：0
|
作者：
Sun, Shu-Ming [1 ]
机构：
[1] Virginia Polytech Inst & State Univ, Dept Math, Blacksburg, VA 24061 USA
来源：
PROCEEDINGS OF THE CONFERENCE ON WATER WAVES: THEORY AND EXPERIMENT | 2010年
关键词：
Existence; Stability; Solitary Waves; WATER-WAVES; TRANSVERSE INSTABILITY; ENERGETIC STABILITY; CAPILLARY RIPPLES; RESONANCE; AMPLITUDE;
D O I：
暂无
中图分类号：
P75 [海洋工程];
学科分类号：
0814 ; 081505 ; 0824 ; 082401 ;
摘要：
This note discusses the recent development on the existence and stability of two-dimensional and three-dimensional gravity-capillary waves on water of finite-depth. The Korteweg-de Vries (KdV) equation is derived formally from the exact governing equations and the solitary-wave solutions are obtained. The recent results on the existence of solutions of the exact equations near the solitary-wave solutions of the KdV equation are presented and various two and three-dimensional wave solutions are given. Then, the stability of these solutions using exact equations is discussed. The ideas and methods to obtain these results are briefly mentioned.
引用
收藏
页码：101 / 119
页数：19
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