We prove a well posedness result for a free boundary problem describing the filtration of an incompressible viscous fluid in a porous medium containing water absorbing granules. The location of the wetting front (the free boundary) is described by a Stefan like problem for a parabolic equation which is coupled with an hyperbolic equation describing the absorption kinetic of the granules.
A free boundary problem in an absorbing porous material with saturation dependent permeability / GIANNI, ROBERTO; MANNUCCI, PAOLA. - In: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. - ISSN 1021-9722. - STAMPA. - 8:(2001), pp. 219-235. [10.1007/PL00001446]
A free boundary problem in an absorbing porous material with saturation dependent permeability
GIANNI, ROBERTO;MANNUCCI, PAOLA
2001
Abstract
We prove a well posedness result for a free boundary problem describing the filtration of an incompressible viscous fluid in a porous medium containing water absorbing granules. The location of the wetting front (the free boundary) is described by a Stefan like problem for a parabolic equation which is coupled with an hyperbolic equation describing the absorption kinetic of the granules.
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