Planetary waves over the rotating earth

Details Planetary waves over the rotating earth Planetary waves over the rotating earth

Aug 1974

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974pwor.book.....s&link_type=abstract

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Physics

7

Asymptotic Series, Atmospheric Physics, Earth Rotation, Boundary Value Problems, Hamilton-Jacobi Equation, Incompressible Flow, Ray Tracing, Wave Functions

Scientific paper

An asymptotic method is developed for the study of planetary waves in the atmosphere or ocean of variable depth over the rotating earth. An asymptotic solution involving a phase function and an amplitude function is constructed. The phase function satisfies the Hamilton-Jacobi equation and the amplitude function is determined by a conservation relation along each of a family of rays over a unit sphere. Application of the method to wave resonance in a liquid layer on a rotating spherical earth is considered.

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