Mathematical result for heat and mass transfer in porous media

Abstract

In this work, we prove an existence result of weak solution of a nonlinear initial boundary value problem modeling heat and mass transfer in an heterogeneous porous medium. The system consists of three nonlinear equations; the first is elliptic, the second is parabolic degenerate, the third is parabolic with the parabolic term having a coefficient depending on one of the unknown functions.