English

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

Analysis of PDEs 2021-03-19 v1 Mathematical Physics math.MP

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 R2\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.

Keywords

Cite

@article{arxiv.2103.10052,
  title  = {Structural stability for a thermal convection model with temperature-dependent solubility},
  author = {Michele Ciarletta and Brian Straughan and Vincenzo Tibullo},
  journal= {arXiv preprint arXiv:2103.10052},
  year   = {2021}
}
R2 v1 2026-06-24T00:18:09.238Z