正常电场下完全非线性毛细重力孤立波的动力学

Dynamics of fully nonlinear capillary-gravity solitary waves under normal electric fields.

作者信息

Gao T, Milewski P A, Papageorgiou D T, Vanden-Broeck J-M

机构信息

1Department of Mathematics, Imperial College London, London, SW7 2AZ UK.

2Department of Mathematics, University College London, London, WC1E 6BT UK.

出版信息

J Eng Math. 2018;108(1):107-122. doi: 10.1007/s10665-017-9912-z. Epub 2017 Jun 9.

DOI:10.1007/s10665-017-9912-z

PMID:31983772

原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC6954033/

Abstract

Two-dimensional capillary-gravity waves travelling under the effect of a vertical electric field are considered. The fluid is assumed to be a dielectric of infinite depth. It is bounded above by another fluid which is hydrodynamically passive and perfectly conducting. The problem is solved numerically by time-dependent conformal mapping methods. Fully nonlinear waves are presented, and their stability and dynamics are studied.

摘要

考虑了在垂直电场作用下传播的二维毛细重力波。假设流体是无限深度的电介质。它上方由另一种流体界定，该流体在流体动力学上是被动的且完全导电。通过与时间相关的共形映射方法对该问题进行了数值求解。给出了完全非线性波，并研究了它们的稳定性和动力学。