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Green’s functions for Rossby waves. (English) Zbl 1421.76052

Summary: Compact solutions are presented for planetary, non-divergent, barotropic Rossby waves generated by (i) an impulsive point source and (ii) a sustained point source of curl of wind stress. Previously, only cumbersome integral expressions were known, rendering them practically useless. Our simple expressions allow for immediate numerical visualization/animation and further mathematical analysis.

MSC:

76B65 Rossby waves (MSC2010)
76U05 General theory of rotating fluids
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