Hamiltonian approach to the modeling of internal geophysical waves with vorticity

DOI10.1007/s00605-014-0724-1zbMath1334.76029OpenAlexW1992903982MaRDI QIDQ264051

Alan Compelli

Publication date: 5 April 2016

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arrow.dit.ie/cgi/viewcontent.cgi?article=1184&context=scschmatart

zbMATH Keywords

linearizationCoriolis forcesHamiltonian formulationcanonical structureconstant vorticitygeophysical waves

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Vortex flows for incompressible inviscid fluids (76B47) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Internal waves for incompressible inviscid fluids (76B55) Euler equations (35Q31)

Related Items (9)

The dynamics of flat surface internal geophysical waves with currents ⋮ On the intermediate long wave propagation for internal waves in the presence of currents ⋮ Hamiltonian description of internal ocean waves with Coriolis force ⋮ Weakly nonlinear waves in stratified shear flows ⋮ Hamiltonian model for coupled surface and internal waves in the presence of currents ⋮ Hamiltonian approach to modelling interfacial internal waves over variable bottom ⋮ Hamiltonian model for coupled surface and internal waves over currents and uneven bottom ⋮ Integrable Models of Internal Gravity Water Waves Beneath a Flat Surface ⋮ Small-amplitude solitary and generalized solitary traveling waves in a gravity two-layer fluid with vorticity

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