ON THE EXISTENCE OF SMALL AMPLITUDE SOLITARY WAVES WITH STRONG SURFACE-TENSION

被引：29

作者：

SACHS, RL ^{[1
]}

机构：

[1] PENN STATE UNIV,DEPT MATH,UNIVERSITY PK,PA 16802

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 1991年 / 90卷 / 01期

关键词：

D O I：

10.1016/0022-0396(91)90159-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

An existence theory for small amplitude solitary waves with surface tension effects included is developed for large values of the surface tension parameter (β > 1 3). Using ideas of Beale, the Nash-Moser implicit function theorem is applied to justify the well-known approximation of Korteweg and deVries. Some of the recent results of Amick and Kirchgässner are thereby achieved more directly and additional insight obtained for the open case β < 1 3. © 1991.

引用

页码：31 / 51

页数：21

共 15 条

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