Localized dipoles: From 2D to rotating shallow water

DOI10.1007/s00162-009-0131-8zbMath1191.76104OpenAlexW2144978039MaRDI QIDQ983565

Gregory Reznik, Ziv Kizner

Publication date: 24 July 2010

Published in: Theoretical and Computational Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00162-009-0131-8

zbMATH Keywords

soliton\(\beta \)-plane\(f\)-planequasi-geostrophic approximationrotating shallow waterdipole vortexmodonvorticity-streamfunction relation

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Vortex flows for incompressible inviscid fluids (76B47) General theory of rotating fluids (76U05)

Related Items (2)

Viscous selection of an elliptical dipole ⋮ Steady vortex dipoles with general profile functions

Cites Work

• One case of vortex motion in fluid. (Translated from the Russian 1903 original) With an appendix by V. V. Meleshko and G. J. F. van Heijst
• Two variations on the theme of Lamb--Chaplygin: supersmooth dipole and rotating multipoles
• Baroclinic topographic modons
• The Theory of the Beta-Plane Baroclinic Topographic Modons
• Numerical study of elliptical modons using a spectral method
• Shallow-water modons on the f-plane
• Rotating multipoles on the f- and γ-planes
• Noncoincidence of separatrices in two-layer modons
• On Chaplygin's investigations of two-dimensional vortex structures in an inviscid fluid
• Non-circular baroclinic beta-plane modons: constructing stationary solutions
• The structure and evolution of elliptical barotropic modons
• Baroclinic modon equilibria on the beta-plane: stability and transitions

This page was built for publication: Localized dipoles: From 2D to rotating shallow water