[01119] Miscible Flows Based On Darcy-Stokes-Brinkman Model: Existence and Uniqueness
Session Time & Room : 4D (Aug.24, 15:30-17:10) @D401
Type : Contributed Talk
Abstract : Flows in a porous or vuggy medium are encountered in several physical phenomena, including oil recovery. A vast literature use the unsteady Brinkman and continuity equations for numerical modeling of such flow systems. We couple these equations with a convection-diffusion equation for the solute concentration to take the miscibility of fluids into account. For the first time, we show the well-posedness of this problem by employing regularized Galerkin method and hemivaritional inequalities.
