Accession Number : AD0745012

Title :   On Stationary Modes in Inviscid Rotating Fluids,

Corporate Author : CALIFORNIA UNIV LOS ANGELES

Personal Author(s) : Ralston,J. V.

Report Date : 30 JUN 1972

Pagination or Media Count : 1

Abstract : The paper studies the spectrum of the generator of the group of motions of an inviscid fluid in a slowly rotating container. It is shown that for all containers the spectrum is the set (ix/x belongs to (-2,2)). Analogous results are obtained for axi-symmetric motions of a large rotating ring of fluid (the 'Poincare problem') and a family of examples exhibiting various mixtures of continuous and point spectrum is given for this case. (Author)

Descriptors :   (*INCOMPRESSIBLE FLOW, *VORTICES), PARTIAL DIFFERENTIAL EQUATIONS, HILBERT SPACE, EQUATIONS OF MOTION, SET THEORY, NUMERICAL INTEGRATION, THEOREMS

Subject Categories : Fluid Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE