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

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

doi:10.1007/s10665-017-9912-z

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

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

Research output: Contribution to journal › Article › peer-review

19 Citations (SciVal)

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.

Original language	English
Pages (from-to)	107-122
Number of pages	16
Journal	Journal of Engineering Mathematics
Volume	108
Issue number	1
Early online date	9 Jun 2017
DOIs	https://doi.org/10.1007/s10665-017-9912-z
Publication status	Published - 1 Feb 2018

Keywords

Solitary wave
Surface wave
Wave interactions

ASJC Scopus subject areas

General Mathematics
General Engineering

Access to Document

10.1007/s10665-017-9912-zLicence: CC BY

Cite this

@article{292f4f5e5d7d43468e326bcfe11ff770,

title = "Dynamics of fully nonlinear capillary–gravity solitary waves under normal electric fields",

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.",

keywords = "Solitary wave, Surface wave, Wave interactions",

author = "T. Gao and Milewski, {P. A.} and Papageorgiou, {D. T.} and J.-M. Vanden-Broeck",

year = "2018",

month = feb,

day = "1",

doi = "10.1007/s10665-017-9912-z",

language = "English",

volume = "108",

pages = "107--122",

journal = "Journal of Engineering Mathematics",

issn = "0022-0833",

publisher = "Springer Netherlands",

number = "1",

}

TY - JOUR

T1 - Dynamics of fully nonlinear capillary–gravity solitary waves under normal electric fields

AU - Gao, T.

AU - Milewski, P. A.

AU - Papageorgiou, D. T.

AU - Vanden-Broeck, J.-M.

PY - 2018/2/1

Y1 - 2018/2/1

N2 - 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.

AB - 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.

KW - Solitary wave

KW - Surface wave

KW - Wave interactions

UR - http://www.scopus.com/inward/record.url?scp=85020639787&partnerID=8YFLogxK

U2 - 10.1007/s10665-017-9912-z

DO - 10.1007/s10665-017-9912-z

M3 - Article

AN - SCOPUS:85020639787

SN - 0022-0833

VL - 108

SP - 107

EP - 122

JO - Journal of Engineering Mathematics

JF - Journal of Engineering Mathematics

IS - 1

ER -

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

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Modelling, Computation ahnd Analysis of Droplets Guided by Faraday Waves: A Complex System with Macroscopic Quantum Analogies

Cite this

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

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Projects

Modelling, Computation ahnd Analysis of Droplets Guided by Faraday Waves: A Complex System with Macroscopic Quantum Analogies

Cite this