LARGE-AMPLITUDE SOLITARY WATER WAVES WITH VORTICITY

被引：25

作者：

Wheeler, Miles H. ^{[1
]}

机构：

[1] Brown Univ, Dept Math, Providence, RI 02912 USA

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2013年 / 45卷 / 05期

关键词：

water waves; vorticity; solitary waves; ARBITRARY DISTRIBUTION; DIFFERENTIAL-EQUATIONS; ELLIPTIC-EQUATIONS; STOKES CONJECTURE; GREATEST HEIGHT; EXISTENCE; FREDHOLM; SYMMETRY; BOUNDARY;

D O I：

10.1137/120891460

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We provide the first construction of exact solitary waves of large amplitude with an arbitrary distribution of vorticity. We use continuation to construct a global connected set of symmetric solitary waves of elevation, whose profiles decrease monotonically on either side of a central crest. This generalizes the classical result of Amick and Toland.

引用

页码：2937 / 2994

页数：58

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