منابع مشابه
On the Stability of Stratified Flows with a Horizontal Shear
Howard’s semi-circle theorem [4] states that the complex wavespeed for an unstable mode must fall within the range of values of the base flow, a conclusion that has proven to be of fundamental importance for a wide variety of flow phenomena. Howard’s original proof applies to a two-dimensional basic state, u(z), where z is the vertical distance and u is the horizontal velocity, with two dimensi...
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Motivated by the importance of irreversible mixing in geophysical and environmental flows, we seek to understand the dependence of its efficiency under strongly stratified conditions through a seris of direct numerical simulation of Holmboe wave instability under various initial conditions. Our numerical findings demonstrate that while mixing is enhanced when the density layer is much sharper t...
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Article history: Received 28 January 2016 Received in revised form 28 March 2016 Accepted 29 March 2016 Available online 6 April 2016 Communicated by C.R. Doering
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The stability of modulated atmospheric flows is analyzed. The equations govern. ing the disturbance motion are solved by Galerkin expansions with time-dependent coefficients. Asymptotic stability bounds are then established by constructing Liapuno"\ functions for the resulting differential systems.
متن کاملThe stability of stratified spatially periodic shear flows at low Péclet number
Pascale Garaud, a) Basile Gallet, and Tobias Bischoff Department of Applied Mathematics and Statistics, Baskin School of Engineering, University of California at Santa Cruz, 1156 High Street, Santa Cruz CA 95064, USA Service de Physique de l’Etat Condensé, DSM/IRAMIS, CNRS UMR 3680, CEA Saclay, 91191 Gif-sur-Yvette cedex, France. Division of Geological and Planetary Sciences, California Institu...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1983
ISSN: 0022-247X
DOI: 10.1016/0022-247x(83)90040-9