Symmetry of solitary water waves with vorticity

被引：0

作者：

Hur, Vera Mikyoung ^{[1
]}

机构：

[1] MIT, Dept Math, Cambridge, MA 02139 USA

来源：

MATHEMATICAL RESEARCH LETTERS | 2008年 / 15卷 / 2-3期

关键词：

water waves; solitary; vorticity; symmetry; moving planes; maximum principles;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Symmetry and monotonicity properties of solitary water-waves of positive elevation with supercritical values of parameter are established for an arbitrary vorticity. The proof uses the detailed knowledge of asymptotic decay of supercritical solitary waves at infinity and the method of moving planes.

引用

页码：491 / 509

页数：19

共 20 条

[1]

AMICK CJ, 1981, ARCH RATION MECH AN, V76, P9, DOI 10.1007/BF00250799

[2]

BEALE JT, 1977, COMMUN PUR APPL MATH, V5, P237

[3] Exact steady periodic water waves with vorticity [J].