Navier-Stokes equations on the rotating sphere. A simple proof of the attractor dimension estimate

DOI10.1088/0951-7715/7/1/002zbMath0840.35077OpenAlexW1984212064MaRDI QIDQ4862473

Alexei A. Ilyin

Publication date: 8 February 1996

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/7/1/002

zbMATH Keywords

estimates of the attractor dimension for the Navier-Stokes equationslarge scale atmospheric dynamics

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) PDEs of mixed type (35M10) Navier-Stokes equations (35Q30) Meteorology and atmospheric physics (86A10)

Related Items (6)

On attractor’s dimensions of the modified Leray-alpha equation ⋮ Lieb–Thirring inequalities on the sphere ⋮ Attractors for Navier-Stokes equations in domains with finite measure ⋮ Length scales for the Navier-Stokes equations on a rotating sphere ⋮ A pseudospectral quadrature method for Navier-Stokes equations on rotating spheres ⋮ Navier-Stokes equations on a rapidly rotating sphere

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