On existence and uniqueness of the Brinkman-Forchheimer equations solutions and continuous dependence on Forchheimer and Darcy coefficients of the Brinkman-Forchheimer equations

In this thesis, the existence and uniqueness of the Brinkman- Forchheimer equations solutions and the continous dependence of Forchheimer and Darcy coefficients on Brinkman- Forchheimer equations are investigated. In the first chapter the existence of solutions, in the second chapter the unıqueness of these solutions, in the third chapter the continous dependence of Forchheimer coefficient on norm to these solutions, in the fourth chapter the continous dependence of Darcy coefficient on norm to these solutions are shown. This work is performed by investigating the results known in literature.Key Words : Brinkman-Forchheimer Denklemleri, sürekli bağımlılık,Forchheimer Katsayısı, Darcy Katsayısı