Sur quelques problèmes d'écoulement dans les milieux poreux

Abstract : In this work, we study fluid flows through a porous medium with leaky boundary conditions. In the first chapter, the fluid is governed by a linear Darcy's low. The second chapter is about a unbounded dam. In the third chapter, we extend our results to the case of a maximal monotone graph. In the last chapter, the fluid is governed by a nonlinear Darcy's low. In this thesis, we investigate questions of existence, uniqueness and shape of the free boundary
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Abdeslem Lyaghfouri. Sur quelques problèmes d'écoulement dans les milieux poreux. Mathématiques générales [math.GM]. Université Paul Verlaine - Metz, 1994. Français. ⟨NNT : 1994METZ028S⟩. ⟨tel-01776107⟩

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