Euler equation on a fast rotating sphere-time-averages and zonal flows

DOI10.1016/j.euromechflu.2012.06.001zbMath1347.86003arXiv1108.2536OpenAlexW2963438028MaRDI QIDQ326089

Bin Cheng, A. S. Makhalov

Publication date: 12 October 2016

Published in: European Journal of Mechanics. B. Fluids (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.2536

zbMATH Keywords

Euler equationsbarotropic models on a rapidly rotating spherePDE on surfacesrotating fluidstime-averageszonal flows

Mathematics Subject Classification ID

General theory of rotating fluids (76U05) Applications of differential geometry to physics (53Z05) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) General questions in geophysics (86A04) Euler equations (35Q31)

Related Items (6)

Near-resonance approximation of rotating Navier–Stokes equations ⋮ Euler equation on a rotating surface ⋮ Stratospheric planetary flows from the perspective of the Euler equation on a rotating sphere ⋮ On zonal steady solutions to the 2D Euler equations on the rotating unit sphere ⋮ Singularity Formation and Global Existence of Classical Solutions for One-Dimensional Rotating Shallow Water System ⋮ Navier-Stokes equations on a rapidly rotating sphere

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