The Open Atmospheric Science Journal

2011, 5 : 23-26
Published online 2011 February 17. DOI: 10.2174/1874282301105010023
Publisher ID: TOASCJ-5-23

On the Stability of Three-Dimensional Disturbances in Stratified Flow with Lateral and Vertical Shear

Iordanka N. Panayotova and John P. McHugh
Old Dominion University, Department of Mathematics and Statistics, 4700 Elkhorn Avenue, Norfolk, VA 23529, USA.

ABSTRACT

Howard's semi-circle theorem is generalized for three-dimensional disturbances in a non-Boussinesq stratified fluid with a mean flow varying horizontally and vertically. In case of Boussinesq approximation Howard's and Rayleigh's theorem are extended for three-dimensional disturbances in a fluid with a mean flow varying only with respect to the latitude.