Physics
Scientific paper
Mar 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993angeo..11...90s&link_type=abstract
Annales Geophysicae (ISSN 0992-7689), vol. 11, no. 2-3, p. 90-98.
Physics
2
Baroclinic Waves, Kinetic Equations, Planetary Waves, Resonance, Wave Equations, Coriolis Effect, Wave Interaction
Scientific paper
A detailed study is made of the impact of double resonance on the spectral evolution of weakly nonlinear Rossby wave systems. The kinetic equation appears to be valid for most of the baroclinic Rossby waves and also for a significant portion of double resonance waves; in particular, for all singularity points of the locus of the double resonance wave vectors. This equation breaks down owing to the inability of a certain collision integral to describe the interactions within double resonance triplets as well as nearly double resonance triplets. Of prime interest is the conclusion that the inaccuracy of the kinetic equation for Rossby waves caused by the double resonance appears to be small as compared to the integral intensity of nonlinear interactions. Accordingly, during the numerical solution of the kinetic equation for Rossby waves it is probably possible to discard the interactions within 'almost' double resonance triplets, expecting the arising inaccuracy not to essentially distort the whole spectrum.
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