On the nonlinear stability of a thermo-diffusive fluid mixture in a mixed problem
type: Item
instance of: scholarly article
title: On the nonlinear stability of a thermo-diffusive fluid mixture in a mixed problem
zbMATH Open document ID: 0624.76114
DOI: 10.1016/0022-247X(87)90032-1
author: S. Rionero
author: Giuseppe Mulone
published in: Journal of Mathematical Analysis and Applications
publication date: 1987-01-01T00:00:00Z
review text: In this paper there is considered the problem of thermo-diffusive binary fluid mixture in the Oberbeck-Boussinesq scheme related to a bounded domain whose boundary is formed by two components, one being rigid and the other free and invariable. Conditions under which the linear stability of the steady solutions implies the nonlinear stability are obtained. Also, the authors give conditions which assure, for the motionless state in a layer, the coincidence of the critical linear and nonlinear (energy) stability parameters.
Mathematics Subject Classification ID: 76R99
Mathematics Subject Classification ID: 76T99
Mathematics Subject Classification ID: 35B35
zbMATH DE Number: 4014355
zbMATH Keywords: linearization principle
zbMATH Keywords: Bénard problem
zbMATH Keywords: thermo-diffusive binary fluid mixture
zbMATH Keywords: Oberbeck-Boussinesq scheme
zbMATH Keywords: bounded domain
zbMATH Keywords: linear stability
zbMATH Keywords: steady solutions
zbMATH Keywords: nonlinear stability
reviewed by: Dan Polisevski
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4014355