The influence of variable surface tension on capillary-gravity waves

被引:2
|
作者
Ozugurlu, E [1 ]
Vanden-Broeck, JM
机构
[1] Univ Wisconsin, Dept Math, Madison, WI 53706 USA
[2] Univ Wisconsin, Ctr Math Sci, Madison, WI 53706 USA
[3] Univ E Anglia, Sch Math, Norwich NR4 7TJ, Norfolk, England
关键词
variable surface tension; water waves; capillary-gravity waves;
D O I
10.1023/A:1017568611267
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Periodic gravity-capillary waves propagating at a constant velocity at the surface of a fluid of infinite depth are considered. The surface tension is assumed to vary along the free surface. A numerical procedure is presented to solve the problem with an arbitrary distribution of surface tension on the free surface. It is found that there are many different families of solutions. These solutions generalize the classical theory of gravity-capillary waves with constant surface tension. An asymptotic solution is presented for a particular distribution of variable surface tension.
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页码:269 / 282
页数:14
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