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A free boundary problem in an absorbing porous material with saturation dependent permeability

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Nonlinear Differential Equations and Applications NoDEA Aims and scope Submit manuscript

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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Authors and Affiliations

  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

    Roberto Gianni

  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

    Paola Mannucci

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  1. Roberto Gianni
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  2. Paola Mannucci
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Received December 1999

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Gianni, R., Mannucci, P. A free boundary problem in an absorbing porous material with saturation dependent permeability. NoDEA, Nonlinear differ. equ. appl. 8, 219–235 (2001). https://doi.org/10.1007/PL00001446

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  • DOI: https://doi.org/10.1007/PL00001446

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