ABSTRACT
Let Ω be an unbounded locally Lipschitz domain in ℝ n (n ≥ 3). Ω represents an unbounded porous medium. The boundary Γ of Ω is divided into three parts: an impervious part S 1, a part in contact with air S 2, and a part covered by fluid S 3. We denote by S 3, i i ∈ I the different connected components of S 3. Assuming that the flow in Ω has reached a steady state we are concerned with finding the pressure p of the fluid and the part of porous medium where some flow occurs, i.e., the wet subset A of Ω. We suppose that Ω ⊂ ℝ n -1 × (—∞, H), H ∈ ℝ.
