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A free boundary problem in an absorbing porous material with saturation dependent permeability |
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| Authors: | Roberto Gianni Paola Mannucci |
| Institution: | (1) Dipartimento di Metodi e Modelli, Matematici per le Scienze Applicate, Università degli Studi di Roma "La Sapienza", Via A. Scarpa 16, 00161 Roma, Italy, e-mail: gianni@dmmm.uniroma1.it, IT;(2) Dipartimento di Matematica Pura e Applicata, Università degli Studi di Padova, Via Belzoni, 7, 35131, Padova, Italy, e-mail: mannucci@math.unipd.it, IT |
| 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. Received December 1999 |
| Keywords: | : Parabolic equations filtration in porous media Stefan problem |
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