CAPILLARY-GRAVITY WAVES ON THE INTERFACE OF TWO DIELECTRIC FLUID LAYERS UNDER NORMAL ELECTRIC FIELDS

被引：8

作者：

Doak, A. ^{[1
]}

Gao, T. ^{[2
]}

Vanden-Broeck, J-M ^{[3
]}

Kandola, J. J. S. ^{[3
]}

机构：

[1] Univ Bath, Dept Math Sci, Bath BA2 7AY, Avon, England

[2] Univ Greenwich, Dept Math Sci, London SE10 9LS, England

[3] UCL, Dept Math, London WC1E 6BT, England

来源：

QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS | 2020年 / 73卷 / 03期

基金：

英国工程与自然科学研究理事会;

关键词：

SOLITARY WAVES; INFINITE DEPTH; FREE-SURFACE; DYNAMICS; STABILITY; EXISTENCE; WATER;

D O I：

10.1093/qjmam/hbaa009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we consider capillary-gravity waves propagating on the interface of two dielectric fluids under the influence of normal electric fields. The density of the upper fluid is assumed to be much smaller than the lower one. Linear and weakly nonlinear theories are studied. The connection to the results in other limit configurations is discussed. Fully nonlinear computations for travelling wave solutions are achieved via a boundary integral equation method. Periodic waves, solitary waves and generalised solitary waves are presented. The bifurcation of generalised solitary waves is discussed in detail.

引用

页码：231 / 250

页数：20

共 25 条

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