Steady Nonlinear Double-Diffusive Convection in a Porous Medium Based upon the Brinkman]Forchheimer Model

A theoretical study of the problem of steady nonlinear double-diffusive convection through a porous medium is presented. The Brinkman]Forchheimer model is used to represent the porous medium. A variational formulation is given to deal with the weak solution and the existence, regularity, and uniqueness results are discussed.