Global stability in the Benard problem for a mixture with superimposed plane parallel shear flows

Authors
Lombardo, S Mulone, G Rionero, S
Citation
S. Lombardo et al., Global stability in the Benard problem for a mixture with superimposed plane parallel shear flows, MATH METH A, 23(16), 2000, pp. 1447-1465
Citations number
26
Categorie Soggetti
Mathematics
Journal title
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
ISSN journal
01704214 → ACNP
Volume
23
Issue
16
Year of publication
2000
Pages
1447 - 1465
Database
ISI
SICI code
0170-4214(20001110)23:16<1447:GSITBP>2.0.ZU;2-D
Abstract
The Lyapunov direct method is used to study the non-linear stability of par allel convective shear flows of a mixture heated and salted from below for any Schmidt and Prandtl numbers. Global non-linear exponential stability fo r small values of Reynolds number R is found and conditional stability resu lts up to the criticality which are independent of R are given for rigid an d stress-free boundaries. Copyright (C) 2000 John Wiley & Sons, Ltd.