GRAVITY SOLITARY WAVES BY MINIMIZATION: AN UNCOUNTABLE FAMILY

被引：0

作者：

Buffoni, Boris ^{[1
]}

机构：

[1] Ecole Polytech Fed Lausanne, Sect Math IACS, CH-1015 Lausanne, Switzerland

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2009年 / 34卷 / 02期

基金：

瑞士国家科学基金会;

关键词：

Capillary-gravity water waves; solitary waves; stability; variational methods; CONCENTRATION-COMPACTNESS PRINCIPLE; CONDITIONAL ENERGETIC STABILITY; WATER-WAVES; EXISTENCE; MECHANICS; CALCULUS; TOPOLOGY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We improve and simplify the minimization method for solitary waves in two cases: firstly, when the surface tension is weak (that is, the Bond number is < 1/3) and the depth is finite, and secondly, when the depth is infinite. In a previous work on the first case, minimizers were shown to exist for a sequence tending to 0 of values of the horizontal impulse. The main difficulty is that strict subadditivity in the concentration-compactness method is unsettled. Here we observe in both examples that strict subadditivity nevertheless holds for a set of horizontal impulses of positive measure and the related propagation speeds are estimated from above.

引用

页码：339 / 352

页数：14

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