Continuous dependence for a thermal convection model with temperature-dependent solubility

摘要

We study the structural stability for a thermal convection model with temperature-dependent solubility. When the spatial domain Ω is bounded in R3, we show that the solution depends continuously on the Boussinesq coefficient λ by using the method of a second order differential inequality. In the procedure of deriving the result, we also get the a priori bounds for the temperature T and the salt concentration C.