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.
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页码：2937 / 2994
页数：58
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