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texto impreso
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[...]texto impreso
We consider a free boundary problem related to a stationary flow of fresh and salt water in a coastal aquifer. The flow is governed by a nonlinear Darcy’s law. Existence and uniqueness of a monotone solution are proved.texto impreso
The subject of this paper is the study of a free boundary problem for a steady fluid flow through a porous medium, in which the classical Darcy law (1) ?!v = ar(p(x)+xn), x = (x1, · · · , xn) 2 Rn, a > 0, is replaced by the nonlinear law (2) |?[...]
