Modelling nonlinear electrohydrodynamic surface waves over three-dimensional conducting fluids

DOI10.1098/rspa.2016.0817zbMath1404.76298OpenAlexW2605244006MaRDI QIDQ4647182

Z. Wang

Publication date: 4 January 2019

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2016.0817

zbMATH Keywords

electrohydrodynamicsfree-surface wavelump

Mathematics Subject Classification ID

Magnetohydrodynamics and electrohydrodynamics (76W05) Waves and radiation in optics and electromagnetic theory (78A40)

Related Items (13)

Nonlinear gravity electro-capillary waves in two-fluid systems: solitary and periodic waves and their stability ⋮ Interfacial electrohydrodynamic solitary waves under horizontal electric fields ⋮ A priori estimates of the electrohydrodynamic waves with vorticity: horizontal electric field ⋮ Shape-changed propagations and interactions for the (3+1)-dimensional generalized Kadomtsev–Petviashvili equation in fluids ⋮ Integrable model of the interaction of counter-propagating weakly nonlinear waves on the fluid boundary in a horizontal electric field ⋮ Nonlinear wave interactions on the surface of a conducting fluid under vertical electric fields ⋮ High-dimensional nonlinear wave transitions and their mechanisms ⋮ A priori estimates of the electrohydrodynamic waves with vorticity: vertical electric field ⋮ Capillary-gravity waves on a dielectric fluid of finite depth under normal electric field ⋮ Well-posedness of electrohydrodynamic waves under vertical electric field ⋮ Model equations for three-dimensional nonlinear water waves under tangential electric field ⋮ Well-posedness of Electrohydrodynamic Interfacial Waves under Tangential Electric Field ⋮ Fully nonlinear capillary-gravity solitary waves under a tangential electric field. II: Dynamics

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