A NOTE ON MATHEMATICAL ANALYSIS OF ROTATING STRATIFIED BOUSSINESQ EQUATIONS

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 180

Volume : 16 , Issue : 3
DOI:
Author :
B. S. Desale (Department of Mathematics, University of Mumbai, Kalina, Santakruz (East), Mumbai - 400098, Maharashtra, INDIA)
K. D. Patil (Department of Mathematics, Kavayitri Bahinabai Chaudhari, North Maharashtra University, Jalgaon - 425001, Maharashtra, INDIA)

Abstract

The mathematical analysis of the system of six coupled non-linear Ordinary Differential Equations (ODEs), which arose in the reduction of uniformly stratified fluid contained in a rotating rectangular box of dimension $L\times L\times H$ which is completely integrable if the Rayleigh number $Ra=0$, is dealt with this paper.

Keywords and Phrases

Painlev\'e test, Mirror transformations, Boussinesq equations, Eigen values and Eigen vectors.

A.M.S. subject classification

37K10, 34M45, 65H17.

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