The dam problem for nonlinear Darcy's laws and Dirichlet boundary conditions

  1. José Carrillo Menéndez 1
  2. Abdeslem Lyaghfouri 2
  1. 1 Universidad Complutense de Madrid, España
  2. 2 Universität Zürich, Switzerland
Aldizkaria:
Annali della Scuola Normale Superiore di Pisa. Classe di scienze

ISSN: 0391-173X

Argitalpen urtea: 1998

Alea: 26

Zenbakia: 3

Orrialdeak: 453-505

Mota: Artikulua

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Beste argitalpen batzuk: Annali della Scuola Normale Superiore di Pisa. Classe di scienze

Laburpena

We study a free boundary problem related to a steady state fluid flow through a porous medium which is governed by a non linear Darcy’s law. A Dirichlet boundary condition is imposed on the top of the dam. Our main results are the continuity of the free boundary and the uniqueness of the S3-connected solution in the two dimensional case. For the general case, we prove the existence and uniqueness of a minimal solution.

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