### 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.

Language | English |
---|---|

Pages | 107-122 |

Number of pages | 16 |

Journal | Journal of Engineering Mathematics |

Volume | 108 |

Issue number | 1 |

Early online date | 9 Jun 2017 |

DOIs | |

Status | Published - 1 Feb 2018 |

### Fingerprint

### Keywords

- Solitary wave
- Surface wave
- Wave interactions

### ASJC Scopus subject areas

- Mathematics(all)
- Engineering(all)

### Cite this

*Journal of Engineering Mathematics*,

*108*(1), 107-122. DOI: 10.1007/s10665-017-9912-z

**Dynamics of fully nonlinear capillary–gravity solitary waves under normal electric fields.** / Gao, T.; Milewski, P. A.; Papageorgiou, D. T.; Vanden-Broeck, J.-M.

Research output: Contribution to journal › Article

*Journal of Engineering Mathematics*, vol 108, no. 1, pp. 107-122. DOI: 10.1007/s10665-017-9912-z

}

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

VL - 108

SP - 107

EP - 122

JO - Journal of Engineering Mathematics

T2 - Journal of Engineering Mathematics

JF - Journal of Engineering Mathematics

SN - 0022-0833

IS - 1

ER -