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Rossby Waves
Author(s) -
Knessl Charles,
Keller Joseph B.
Publication year - 1995
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm1995944359
Subject(s) - rossby wave , rossby radius of deformation , physics , amplitude , dispersion (optics) , kondratiev wave , shallow water equations , mathematical analysis , rossby number , dispersion relation , classical mechanics , mathematics , mechanics , optics , atmospheric sciences , turbulence
An asymptotic solution of the linear shallow water equations for small Rossby number is constructed to describe Ross by waves. It leads to a dispersion or eiconal equation for the phase of the waves and a transport equation for their amplitude. It is shown how these equations can be solved by means of rays for both planetary and topographic Rossby waves. The method is illustrated by constructing the wave field produced by a time harmonic point source in fluid of uniform depth. This solution is a Green's function for the equations.