Analysis of the Brinkman-Forchheimer equations with slip boundary conditions

Details Analysis of the Brinkman-Forchheimer equations with slip boundary conditions Analysis of the Brinkman-Forchheimer equations with slip boundary conditions

2012-02-28

arxiv.org/abs/1202.6223v1

Mathematics

Analysis of PDEs

Scientific paper

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 to Brinkman's and Forchheimer's coefficients. Finally, we show that the weak solution of the corresponding stationary problem is stable.

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