ABSTRACT
In this article we study the existence of weak solutions to the steady-state Boussinesq-Stefan problem consisting of a coupled system between a nonlinear two-phase heat equation with convection and an elliptic variational inequality traducing the non-Newtonian flow in the liquid phase, which may include the solidification or melting of Bingham fluids, pseudo-plastic or dilatant fluids, or also asymptotically Newtonian fluids. Its contents is the following:
