On the differential geometry approach to geophysical flows

DOI10.1016/0375-9601(94)90818-4zbMath0959.86500OpenAlexW2042147015WikidataQ115363318 ScholiaQ115363318MaRDI QIDQ1964897

Vladimir Zeitlin, Rubén A. Pasmanter

Publication date: 6 February 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(94)90818-4

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Applications of global analysis to the sciences (58Z05) Meteorology and atmospheric physics (86A10) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20)

Related Items (8)

Hamiltonian finite-dimensional models of baroclinic instability ⋮ Poisson geometry and first integrals of geostrophic equations ⋮ Nonpositive curvature of the quantomorphism group and quasigeostrophic motion ⋮ Hamilton’s principle for quasigeostrophic motion ⋮ A unified view of Kolmogorov and Lorenz systems ⋮ Cocycles and stream functions in quasigeostrophic motion ⋮ The Euler-Poincaré equations and semidirect products with applications to continuum theories ⋮ Riemannian geometry of the contactomorphism group

Cites Work

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• Nonlinear stability of fluid and plasma equilibria
• Impulse, Flow Force and Variational Principles
• Development of singular solutions to the axisymmetric Euler equations
• Two-dimensional ideal magnetohydrodynamics and differential geometry

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