2022-05-16T22:58:14Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/702362018-05-16T17:04:09Zhdl_2115_45007hdl_2115_116Resonant interaction of Rossby waves in two-dimensional flow on a β planeYamada, MichioYoneda, TsuyoshiNavier-Stokes equationsβ planeRossby wavemild solution410An incompressible two-dimensional flow on a β plane is considered. The β plane is a tangent plane of a sphere to approximately describe fluid motion on a rotating sphere assuming that the Coriolis parameter is a linear function of the latitude. Rossby waves are expected to dominate the β plane dynamics, and here in this paper, a mathematical support for the crucial role of the resonant pairs of the Rossby waves is given.Departmental Bulletin Paperapplication/pdfhttp://hdl.handle.net/2115/70236info:doi/10.14943/84422https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/70236/1/pre999.pdfHokkaido University Preprint Series in Mathematics9992172012-03-02engpublisher