We prove a well posedness result for an elliptic-parabolic free boundary problem describing the filtration of a fluid in a porous medium containing water absorbing granules. The model considers the presence of two free boundaries, representing respectively the wetting front and the saturation front.
A filtration problem in a composite porous material with two free boundaries / E.COMPARINI; R.GIANNI; P.MANNUCCI. - In: ADVANCES IN MATHEMATICAL SCIENCES AND APPLICATIONS. - ISSN 1343-4373. - STAMPA. - 11 (2):(2001), pp. 603-622.
A filtration problem in a composite porous material with two free boundaries
COMPARINI, ELENA;
2001
Abstract
We prove a well posedness result for an elliptic-parabolic free boundary problem describing the filtration of a fluid in a porous medium containing water absorbing granules. The model considers the presence of two free boundaries, representing respectively the wetting front and the saturation front.
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