Model equations for three-dimensional nonlinear water waves under tangential electric field

DOI10.1155/2017/9312681zbMath1448.76043OpenAlexW2767968654MaRDI QIDQ1798514

Bo Tao

Publication date: 23 October 2018

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/9312681

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (1)

Integrable model of the interaction of counter-propagating weakly nonlinear waves on the fluid boundary in a horizontal electric field

Cites Work

• Unnamed Item
• Fully nonlinear capillary-gravity wave patterns under the tangential electric field
• Suppression of Rayleigh-Taylor instability using electric fields
• Nonlinear waves propagating over a conducting ideal fluid surface in an electric field
• Numerical simulation of gravity waves
• Appearance and disappearance of non-symmetric progressive capillary-gravity waves of deep water
• Derivation and comparison of model equations for interfacial capillary-gravity waves in deep water
• The modulational regime of three-dimensional water waves and the Davey-Stewartson system
• Hamiltonian long-wave approximations to the water-wave problem
• Analytic continuation of Dirichlet-Neumann operators
• Models for internal waves in deep water
• Benjamin-Ono Kadomtsev-Petviashvili's models in interfacial electro-hydrodynamics
• Existence of solitary travelling waves in interfacial electrohydrodynamics
• Two-dimensional solitary waves for a Benney-Luke equation
• Nonlinear waves on the surface of a dielectric liquid in a strong tangential electric field
• Dynamics of gravity–capillary solitary waves in deep water
• A Quasi-Planar Model for Gravity-Capillary Interfacial Waves in Deep Water
• Asymmetric gravity–capillary solitary waves on deep water
• A new application of the Korteweg–de Vries Benjamin-Ono equation in interfacial electrohydrodynamics
• Dynamics and rupture of planar electrified liquid sheets
• Solitary waves on a conducting fluid layer
• Traveling Two and Three Dimensional Capillary Gravity Water Waves
• Modelling nonlinear electrohydrodynamic surface waves over three-dimensional conducting fluids
• Large-amplitude capillary waves in electrified fluid sheets
• Non–existence of solitary water waves in three dimensions
• Multilump Symmetric and Nonsymmetric Gravity-Capillary Solitary Waves in Deep Water
• The stability of a horizontal fluid interface in a vertical electric field
• Investigation of symmetry breaking in periodic gravity–capillary waves
• On asymmetric generalized solitary gravity–capillary waves in finite depth
• Disintegration of water drops in an electric field
• Stability of high-order perturbative methods for the computation of Dirichlet-Neumann operators

This page was built for publication: Model equations for three-dimensional nonlinear water waves under tangential electric field