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arXiv · 2103.10052

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

Michele Ciarletta·Brian Straughan·Vincenzo Tibullo
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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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Michele Ciarletta, Brian Straughan, Vincenzo Tibullo. 2021-03-18. Structural stability for a thermal convection model with temperature-dependent solubility. https://doi.org/10.1016/j.nonrwa.2014.07.012

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