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Structural stability for a thermal convection model with temperature-dependent solubility

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arxiv 2103.10052 v1 pith:DLMAL2JK submitted 2021-03-18 math.AP math-phmath.MP

Michele Ciarletta , Brian Straughan , Vincenzo Tibullo This is my paper
classification math.APmath-phmath.MP
keywords functionwhenchemicalconvectionreactionsolubilitysolutiontemperature
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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 $\mathbb{R}^{2}$ we show that the solution depends continuously on the reaction rate using true \emph{a priori} bounds for the solution when the chemical equilibrium function is an arbitrary function of temperature.

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