Two-phase porous media flows with dynamic capillary effects and hysteresis: Uniqueness of weak solutions
In this paper, we obtain the uniqueness of weak solutions for a two phase flow model in a porous medium. A particularity of the model is that the dynamic effects and hysteresis are included in the capillary pressure. To prove the uniqueness, we define an auxiliary elliptic system.
hysteresis uniqueness weak solution dynamic capillary pressure two-phase flow