Stability of capillary–gravity interfacial waves between two bounded fluids

DOI10.1063/1.868678zbMath1026.76526OpenAlexW1975347382MaRDI QIDQ4425633

Paul Christodoulides, Frédéric Dias

Publication date: 17 September 2003

Published in: Physics of Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.868678

Mathematics Subject Classification ID

Capillarity (surface tension) for incompressible inviscid fluids (76B45) Interfacial stability and instability in hydrodynamic stability (76E17) Internal waves for incompressible inviscid fluids (76B55)

Related Items (8)

Group Equivariant Singularity Theory in the Bifurcation of Interfacial Wilton Ripples ⋮ Derivation and comparison of model equations for interfacial capillary-gravity waves in deep water ⋮ Resonant interfacial capillary-gravity waves in the presence of damping effects ⋮ On 1:2 resonant waves which arise between two stratified fluids of finite vertical extent in the presence of mean flow effects ⋮ Non local Models for Envelope Waves in a Stratified Fluid ⋮ A system of coupled partial differential equations exhibiting both elevation and depression rogue wave modes ⋮ Lattice Boltzmann modeling of interfacial gravity waves ⋮ Forced capillary-gravity wave motion of two-layer fluid in three-dimensions

Cites Work

• Weakly nonlinear waves in a stratified fluid: a variational formulation
• A stability analysis for interfacial waves using a Zakharov equation
• An analysis of two-dimensional water waves based on O(2) symmetry
• Stability of finite-amplitude interfacial waves. Part 3. The effect of basic current shear for one-dimensional instabilities
• Large amplitude progressive interfacial waves
• Numerical calculation of gravity-capillary interfacial waves of finite amplitude
• Instabilities and bifurcations of interfacial water waves
• On two-dimensional packets of capillary-gravity waves
• Resonant capillary–gravity interfacial waves
• Geometric Aspects of Spatially Periodic Interfacial Waves
• Stability of finite-amplitude interfacial waves. Part 1. Modulational instability for small-amplitude waves
• On three-dimensional packets of surface waves
• On the modulational stability of traveling and standing water waves
• Non-linear dispersion of water waves
• On standing internal gravity waves of finite amplitude
• On the shape of progressive internal waves

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