ABSTRACT
Let Ω be a bounded domain in https://www.w3.org/1998/Math/MathML"> I R n https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003062271/3a9a5b62-3a88-4cc5-923a-97624426ebfd/content/inline-math85.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> n with Lipschitz boundary Γ. Ω represents an homogeneous isotropic porous medium separating several reservoirs. The water flows from the reservoirs through the porous medium Ω generating 2 regions: a wet (and unknown) region Ω W (where the normalized pressure of the fluid is positive), and a dry region Ω D = Ω \ Ω W (where the normalized pressure vanishes).
