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Title: On a Darcy-Stefan Problem arising in freezing and thawing of saturated porous media
Authors: Rodrigues, José Francisco 
Urbano, José Miguel 
Issue Date: 1998
Publisher: Centro de Matemática da Universidade de Coimbra
Citation: Pré-Publicações DMUC. 98-20 (1998)
Abstract: A model with phase change for material convection in a saturated porous medium with a frozen region is formulated as a Darcy-Stefan problem. We propose a new generalized formulation for this Stefan-type problem with convection governed by Darcy’s law. This approach, which is valid for irregular geometries with irregular subregions, has the advantage of not requiring the smoothness of the temperature, that restricted previous mathematical works to two-dimensional particular cases. We show existence of generalized solutions, passing to the limit in suitable approximated problems, which in principle can be solved numerically by the finite element method.
Rights: openAccess
Appears in Collections:FCTUC Matemática - Vários

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