Resonant interaction of Rossby waves in two-dimensional flow on a \(\beta\) plane

DOI10.1016/j.physd.2012.11.001zbMath1264.35180OpenAlexW2106025680MaRDI QIDQ1951013

Michio Yamada, Tsuyoshi Yoneda

Publication date: 28 May 2013

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2433/168839

zbMATH Keywords

Navier-Stokes equationsmild solutionRossby wave\(\beta\) plane

Mathematics Subject Classification ID

Related Items (3)

The Arithmetic Geometry of Resonant Rossby Wave Triads ⋮ Global solvability of the rotating Navier-Stokes equations with fractional Laplacian in a periodic domain ⋮ Mathematical reformulation of the Kolmogorov–Richardson energy cascade in terms of vortex stretching

Cites Work

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• Transfer of energy to two-dimensional large scales in forced, rotating three-dimensional turbulence
• Uniform global solvability of the rotating Navier-Stokes equations for nondecaying initial data
• Waves and turbulence on a beta-plane
• Long-time solvability of the Navier-Stokes-Boussinesq equations with almost periodic initial large data

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