Analysis of the Brinkman-Forchheimer equations with slip boundary conditions

• Published in: Applicable analysis Vol. 93; no. 7; pp. 1477 - 1494
• Main Authors: Djoko, J.K., Razafimandimby, P.A.
• Format: Journal Article
• Language: English
• Published: Abingdon Taylor & Francis 03.07.2014; Taylor & Francis Ltd
• Subjects: Analysis; Boundary conditions; Brinkman-Forchheimer equations; Continuity; continuous dependence; Friction; Mathematical analysis; Regularization; Slip; slip boundary conditions; stability; Uniqueness; weak solutions

In this work, we study the Brinkman-Forchheimer equations driven under slip boundary conditions of friction type. We prove the existence and uniqueness of weak solutions by means of regularization combined with the Faedo-Galerkin approach. Next, we discuss the continuity of the solution with respect...