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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。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/726d/6954033/f0c30eb4fac7/10665_2017_9912_Fig19_HTML.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/726d/6954033/1e3d23187486/10665_2017_9912_Fig9_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/726d/6954033/de0e24164c8a/10665_2017_9912_Fig10_HTML.jpg
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引用本文的文献

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本文引用的文献

1
Gravity-capillary lumps generated by a moving pressure source.受移动压力源产生的重力-毛细块状物。
Phys Rev Lett. 2009 Nov 20;103(21):214502. doi: 10.1103/PhysRevLett.103.214502.
2
Gravity capillary waves in fluid layers under normal electric fields.正常电场作用下流体层中的重力毛细管波。
Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Nov;72(5 Pt 1):051601. doi: 10.1103/PhysRevE.72.051601. Epub 2005 Nov 1.