Elliptical vortices in shallow water

DOI10.1017/S0022112086001386zbMath0607.76021OpenAlexW2124510139MaRDI QIDQ3747081

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Publication date: 1986

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0022112086001386

zbMATH Keywords

Rossby wavesconfigurationfree boundaryshallow-water equationsinitial conditioninternal gravity wavesunsteady motionhorizontal planecompact rotating shallow massnon-axisymmetric Gulf Stream ring

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) General theory of rotating fluids (76U05)

Related Items (5)

Условно эйлерово-лагранжев метод на примере задачи о динамике внутритермоклинной вихревой линзы ⋮ Flooding and drying in discontinuous Galerkin finite element discretizations of shallow-water equations. I: One dimension ⋮ Ermakov-Ray-Reid Systems in (2+1)-Dimensional Rotating Shallow Water Theory ⋮ Elliptical vortices and integrable Hamiltonian dynamics of the rotating shallow-water equations ⋮ Regular and chaotic flows in paraboloidal basins and eddies.

Cites Work

• Penetrative convection in the upper ocean due to surface cooling
• The effect of rotation on the simpler modes of motion of a liquid in an elliptic paraboloid
• Some general theorems concerning the finite motion of a shallow rotating liquid lying on a paraboloid

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