Well-posedness of Electrohydrodynamic Interfacial Waves under Tangential Electric Field

DOI10.1137/19M1285986zbMath1464.35259OpenAlexW3159121017MaRDI QIDQ3388518

Z. Wang, Jiaqi Yang

Publication date: 5 May 2021

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/19m1285986

zbMATH Keywords

well-posednesselectrohydrodynamicstangential electric

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Capillarity (surface tension) for incompressible viscous fluids (76D45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Liquid-liquid two component flows (76T06)

Related Items (max. 100)

Nonlinear gravity electro-capillary waves in two-fluid systems: solitary and periodic waves and their stability ⋮ A priori estimates of the electrohydrodynamic waves with vorticity: horizontal electric field

Cites Work

• Unnamed Item
• Unnamed Item
• Suppression of Rayleigh-Taylor instability using electric fields
• On the water-wave equations with surface tension
• The influence of electric fields and surface tension on Kelvin-Helmholtz instability in two-dimensional jets
• Numerical simulation of gravity waves
• Local well-posedness for fluid interface problems
• Well-posedness for the motion of an incompressible liquid with free surface boundary
• Interfacial capillary waves in the presence of electric fields
• Well-posedness in Sobolev spaces of the full water wave problem in 2D
• A stability criterion for two-fluid interfaces and applications
• On the three-dimensional Euler equations with a free boundary subject to surface tension
• Multilinear weighted convolution of L 2 functions, and applications to nonlinear dispersive equations
• On the control and suppression of the Rayleigh-Taylor instability using electric fields
• Well-posedness of the free-surface incompressible Euler equations with or without surface tension
• On the free boundary problem of three-dimensional incompressible Euler equations
• Dynamics and rupture of planar electrified liquid sheets
• The zero surface tension limit of three-dimensional water waves
• Nonlinear electrohydrodynamic Rayleigh–Taylor instability. Part 1. A perpendicular field in the absence of surface charges
• On the Cauchy problem for a capillary drop. Part I: irrotational motion
• Well-posedness in Sobolev spaces of the full water wave problem in 3-D
• Reappraisal of the Kelvin–Helmholtz problem. Part 1. Hamiltonian structure
• Well-Posedness of Vortex Sheets with Surface Tension
• Modelling nonlinear electrohydrodynamic surface waves over three-dimensional conducting fluids
• Well-posedness of the water-waves equations
• The stability of a horizontal fluid interface in a vertical electric field
• Film Flows in the Presence of Electric Fields
• A priori estimates for fluid interface problems
• Geometry and a priori estimates for free boundary problems of the Euler's equation
• The zero surface tension limit two‐dimensional water waves
• Disintegration of water drops in an electric field

This page was built for publication: Well-posedness of Electrohydrodynamic Interfacial Waves under Tangential Electric Field