Nonlinear gravity electro-capillary waves in two-fluid systems: solitary and periodic waves and their stability

DOI10.1007/s10665-021-10182-8zbMath1496.76166OpenAlexW4220667589MaRDI QIDQ2125393

Demetrios T. Papageorgiou, H. Broadley

Publication date: 14 April 2022

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10665-021-10182-8

zbMATH Keywords

stabilitygravityelectric fieldsurface tensionincompressible Euler equationslinearised eigenvalue problemnonlinear long-wave analysistangential velocity jump

Mathematics Subject Classification ID

Capillarity (surface tension) for incompressible inviscid fluids (76B45) Solitary waves for incompressible inviscid fluids (76B25) Magnetohydrodynamics and electrohydrodynamics (76W05) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25) Liquid-liquid two component flows (76T06)

Related Items (1)

On the nonlinear behaviour of the Rayleigh–Taylor instability with a tangential electric field for inviscid and perfect dielectric fluids

Cites Work

• Dynamics of fully nonlinear capillary-gravity solitary waves under normal electric fields
• Fully nonlinear gravity-capillary solitary waves in a two-fluid system of finite depth
• Nonlinear interfacial dynamics in stratified multilayer channel flows
• Well-posedness of Electrohydrodynamic Interfacial Waves under Tangential Electric Field
• A new application of the Korteweg–de Vries Benjamin-Ono equation in interfacial electrohydrodynamics
• Modelling nonlinear electrohydrodynamic surface waves over three-dimensional conducting fluids
• Fully nonlinear internal waves in a two-fluid system
• Capillary-gravity waves on the interface of two dielectric fluid layers under normal electric fields
• Nonlinear stability in three-layer channel flows
• Strongly nonlinear effects on internal solitary waves in three-layer flows
• Film Flows in the Presence of Electric Fields
• Numerical and analytical studies of non-linear gravity capillary waves in fluid layers under normal electric fields

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