The stability of finite-amplitude interfacial solitary waves

DOI10.1016/j.fluiddyn.2006.02.008zbMath1135.76021OpenAlexW2038614319MaRDI QIDQ5460386

Takeshi Kataoka

Publication date: 5 May 2008

Published in: Fluid Dynamics Research (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fluiddyn.2006.02.008

zbMATH Keywords

total energyasymptotic analysisexchange of stabilities

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Solitary waves for incompressible inviscid fluids (76B25) Interfacial stability and instability in hydrodynamic stability (76E17) Internal waves for incompressible inviscid fluids (76B55)

Related Items (10)

Long-wave transverse instability of interfacial gravity-capillary solitary waves in a two-layer potential flow in deep water ⋮ On the response of large-amplitude internal waves to upstream disturbances ⋮ Transverse instability of interfacial solitary waves ⋮ On regularizing the strongly nonlinear model for two-dimensional internal waves ⋮ A Boussinesq system for two-way propagation of interfacial waves ⋮ On weakly nonlinear gravity-capillary solitary waves ⋮ Long-wave transverse instability of weakly nonlinear gravity-capillary solitary waves ⋮ Transverse instability of surface solitary waves. Part 2. Numerical linear stability analysis ⋮ A local model for the limiting configuration of interfacial solitary waves ⋮ Shear instability of internal solitary waves in Euler fluids with thin pycnoclines

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