Analysis of the Brinkman-Forchheimer equations with slip boundary conditions

Abstract

In this work, we study Brinkman-Forchheimer equations driven under slip boundery conditions of friction type. We prove the existence and uniqueness of weak solutions by means of regularization combined with the Faedo-Galerkin Brinkman's and Forchheimer's coefficients. Finally , we show that the weak solution of the corresponding stationary problem is stable.