Nonlinear interfacial progressive waves near a boundary in a Boussinesq fluid

DOI10.1063/1.864239zbMath0524.76087OpenAlexW2037849801MaRDI QIDQ3037011

R. H. J. Grimshaw, D. I. Pullin

Publication date: 1983

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

Full work available at URL: https://authors.library.caltech.edu/4672/

zbMATH Keywords

complex variable methodnonlinear boundary value problemcomplex potentialBernoulli equationirrotationalBoussinesq limitlinear solutionthermoclinestrong nonlinearcontinuity of pressure across interfacecumulative circulationdifferent densities and mean velocitieseffect of upper free surfaceFourier expansion methodlarge amplitude progressive waves between two layers of inviscid, incompressible fluidslower layer infinite depthquadratic phase velocitysegment midpoint approximation methodsolitary wave-like behaviourStokes expansion methodtwo- dimensional in each layerupper layer finite depthzero normal component of velocity on outer bounding planes

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Other nonlinear integral equations (45G10) Multiphase and multicomponent flows (76T99) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Connections of harmonic functions with differential equations in two dimensions (31A35)

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