Continuous dependence of double diffusive convection in a porous medium with temperature-dependent density

Abstract

The structural stability of a double diffusive convection in a porous medium of the Forchheimer type was studied, when the density of fluid depends on temperature and concentration as a cubic and linear function, respectively. It has been shown that for this problem, with thermal convection in a plane infinite layer, the resonance can occur between the internal layers that arise. The main parameter is the internal heat source and its presence may lead to oscillatory convection in linear instability inducing resonance. Thus, in this study, the structural stability problem of continuous dependence on the heat source itself for a model of nonisothermal flow in a porous medium of Forchheimer type was analyzed. Furthermore, the continuous dependence of the solution on changes in the Forchheimer coefficients has been shown.