Accession Number : AD0787733
Title : Planetary Waves Over the Rotating Earth.
Descriptive Note : Technical summary rept.,
Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
Personal Author(s) : Shen,M. C.
Report Date : AUG 1974
Pagination or Media Count : 36
Abstract : 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. (Author)
Descriptors : *ATMOSPHERIC MOTION, *OCEAN WAVES, INCOMPRESSIBLE FLOW, RAY TRACING, ASYMPTOTIC SERIES, BOUNDARY VALUE PROBLEMS
Subject Categories : Meteorology
Physical and Dynamic Oceanography
Distribution Statement : APPROVED FOR PUBLIC RELEASE