The dynamics of periodic traveling interfacial electrohydrodynamic waves: bifurcation and secondary bifurcation
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Publication:6616427
DOI10.1007/s00332-024-10085-9MaRDI QIDQ6616427
Fei Xu, Yong Zhang, Guowei Dai
Publication date: 9 October 2024
Published in: Journal of Nonlinear Science (Search for Journal in Brave)
PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Internal waves for incompressible inviscid fluids (76B55) Hydrodynamic stability (76E99)
Cites Work
- Global bifurcation theory for periodic traveling interfacial gravity-capillary waves
- Singularities in axisymmetric free boundaries for electrohydrodynamic equations
- Bifurcation theory. An introduction with applications to partial differential equations
- Steady water waves with a critical layer
- On Wilton ripples. II: Rigorous results
- On ripples.
- Small internal waves in two-fluid systems
- On stratified water waves with critical layers and Coriolis forces
- Free surface flows in electrohydrodynamics with a constant vorticity distribution
- Bifurcation structure and stability of steady gravity water waves with constant vorticity
- Variational formulation of rotational steady water waves in two-layer flows
- Bifurcation, perturbation of simple eigenvalues, and linearized stability
- Bifurcation from simple eigenvalues
- Nonlinear wave interactions on the surface of a conducting fluid under vertical electric fields
- Steady Water Waves in the Presence of Wind
- Existence of Wilton Ripples for Water Waves with Constant Vorticity and Capillary Effects
- Nonlinear Water Waves with Applications to Wave-Current Interactions and Tsunamis
- Steady Water Waves with Multiple Critical Layers
- Stability properties of steady water waves with vorticity
- A new application of the Korteweg–de Vries Benjamin-Ono equation in interfacial electrohydrodynamics
- Gravity–Capillary Free-Surface Flows
- The bifurcation and secondary bifurcation of capillary-gravity waves
- Secondary Bifurcation Near a Double Eigenvalue
- Exact steady periodic water waves with vorticity
- Modelling nonlinear electrohydrodynamic surface waves over three-dimensional conducting fluids
- Large-Amplitude Solitary Waves in Two-Layer Density Stratified Water
- Capillary-gravity waves on the interface of two dielectric fluid layers under normal electric fields
- Global bifurcation of capillary-gravity dark solitary waves on the surface of a conducting fluid under normal electric fields
- The stability of a horizontal fluid interface in a vertical electric field
- Film Flows in the Presence of Electric Fields
- On the existence of steady periodic capillary-gravity stratified water waves
- Sur la détermination rigoureuse des ondes permanentes périodiques d'ampleur finie.
- Stability properties of nontrivial periodic water waves for fixed-depth rotational equatorial flows
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