Structural stability for a thermal convection model with temperature-dependent solubility. (April 2015)

• Record Type: Journal Article
• Authors: Ciarletta, M.; Straughan, B.; Tibullo, V.
• Is Part Of: Nonlinear analysis. Volume 22(2015)
• Page Start: 34
• Page End: 43
• Publication Date: 2015-04
• Subjects: Structural stability -- Thermal convection -- Double diffusion; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2014.07.012
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: We study a problem involving thermosolutal convection in a fluid when the solute concentration is subject to a chemical reaction in which the solubility of the dissolved component is a function of temperature. When the spatial domain is a bounded one in R 2 we show that the solution depends continuously on the reaction rate using true a priori bounds for the solution when the chemical equilibrium function is an arbitrary function of temperature.