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