A NOTE ON MATHEMATICAL ANALYSIS OF ROTATING STRATIFIED BOUSSINESQ EQUATIONS

B. S. Desale; K. D. Patil

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

Volume 16, Issue 3 Pages 39-50 December 30, 2020 305 downloads

Article overview

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 testMirror transformationsBoussinesq equationsEigen values and Eigen vectors.

AMS Subject Classification

37K10, 34M45, 65H17.

Reference information

How to Cite

B. S. Desale, K. D. Patil (2020). A NOTE ON MATHEMATICAL ANALYSIS OF ROTATING STRATIFIED BOUSSINESQ EQUATIONS. South East Asian Journal of Mathematics and Mathematical Sciences, 16(3), 39-50.

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