
Accession Number : AD0633737
Title : ASYMPTOTIC BEHAVIOR OF PLANETARYSCALE MOTIONS OF THE ATMOSPHERE,
Corporate Author : COURANT INST OF MATHEMATICAL SCIENCES NEW YORK UNIV N Y
Personal Author(s) : Morikawa,G. K.
Report Date : APR 1966
Pagination or Media Count : 41
Abstract : Asymptotic equations describing slowly varying planetaryscale motions of the atmosphere over the rotating earth are derived and compared to the geostrophic equations of motion in the tangent plane approximation. Since the same approximation procedure is used in both the spherical and plane geometry, a direct term by term comparison is possible. The plane approximation yields familiar prognostic equations (initial value problem); but in the more constrained spherical geometry, a more restricted forcingtype problem results if the zonal motion is timedependent. That is, with a given slowly varying or steady zonal motion, is associated a class of longwave tesseral motions, i.e. coupled lowwavenumber and meridional motions. (Author)
Descriptors : (*ATMOSPHERES, *MOTION), FLUID MECHANICS, APPROXIMATION(MATHEMATICS), DYNAMICS, WEATHER FORECASTING
Subject Categories : Meteorology
Distribution Statement : APPROVED FOR PUBLIC RELEASE