Displaying similar documents to “A stationary flow of fresh and salt groundwater in a heterogeneous coastal aquifer”

Homogenization of a one-dimensional model for compressible miscible flow in porous media

Catherine Choquet (2003)

Bollettino dell'Unione Matematica Italiana

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We discuss the homogenization of a one-dimensional model problem describing the motion of a compressible miscible flow in porous media. The flow is governed by a nonlinear system of parabolic type coupling the pressure and the concentration. Using the technique of renormalized solutions for parabolic equations and a compensated compactness argument, we prove the stability of the homogenization process.

Mathematical analysis of a two-phase parabolic free boundary problem derived from a Bingham-type model with visco-elastic core

A. Farina, L. Fusi (2005)

Bollettino dell'Unione Matematica Italiana

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In this paper we consider a two-phase one-dimensional free boundary problem for the heat equation, arising from a mathematical model for a Bingham-like fluid with a visco-elastic core. The main feature of this problem consists in the very peculiar structure of the free boundary condition, not allowing to use classical tools to prove well posedness. Existence of classical solution is proved using a fixed point argument based on Schauder's theorem. Uniqueness is proved using a technique...

On the onset of convection in porous media: temperature depending viscosity

F. Capone (2001)

Bollettino dell'Unione Matematica Italiana

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Si considera l'insorgere della convezione naturale in un mezzo poroso (Horton-Rogers-Lapwood problem), assumendo che la viscosità del fluido dipenda dalla temperatura. Adoperando il metodo diretto di Liapunov, si effettua l'analisi della stabilitá non lineare della soluzione di conduzione per i modelli di Darcy e di Forchheimer.