Full nonlinear dispersion model of shallow water equations on a rotating sphere

DOI10.1134/S0021894411060034zbMath1298.76046MaRDI QIDQ468807

G. S. Khakhimzyanov, Zinaida I. Fedotova

Publication date: 10 November 2014

Published in: Journal of Applied Mechanics and Technical Physics (Search for Journal in Brave)

zbMATH Keywords

free boundarysurface wavesideal incompressible fluid flownonlinear dispersion equationsshallow water equations on a sphere

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) General theory of rotating fluids (76U05)

Related Items (4)

Nonlinear-dispersive shallow water equations on a rotating sphere and conservation laws ⋮ Dispersive Shallow Water Wave Modelling. Part I: Model Derivation on a Globally Flat Space ⋮ Dispersive Shallow Water Wave Modelling. Part III: Model Derivation on a Globally Spherical Geometry ⋮ Asymptotics of shallow water equations on the sphere

Cites Work

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• Shallow water equations on a rotating attracting sphere. II: Simple stationary waves and sound characteristics

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