共 15 条
- [11] LEVICIVITA T, 1926, MATH ANN, V95, P264
- [13] Stoker J.J., 2011, WATER WAVES MATH THE, V36, DOI DOI 10.1002/9781118033159
- [14] WEHAUSEN J. V., 1960, HDB PHYS, V9, P445
- [15] ZEHNDER E, 1975, COMMUN PUR APPL MATH, V28, P91
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
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
收藏
页码：31 / 51
页数：21
相关论文