| Título: | A filtration problem with nonlinear Darcy’s law and generalized boundary conditions. |
| Autores: | Carrillo Menéndez, José ; Lyaghfouri, A. |
| Tipo de documento: | texto impreso |
| Editorial: | Khayyam, 2000 |
| Palabras clave: | Estado = Publicado , Materia = Ciencias: Matemáticas: Ecuaciones diferenciales , Tipo = Artículo |
| Resumen: |
This article studies a filtration problems with nonlinear Darcy’s law, e.g. ~v = ?|rp|q?2rp, where p is the fluid pressure , q > 1, and ~v is the velocity, governed by the mass conservation law div(~v) = 0. This leads to a free boundary problem since the movement of the fluid takes place only in the “wet part” of the domain which is also unknown. The authors give a unified formulation of the problem to include general boundary conditions, such as Dirichlet, Neumann, and so-called leaky boundary conditions. The existence of (weak) solutions is established, for both bounded and unbounded domains, by an approximation method. |
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