Displaying similar documents to “The evolution dam problem for nonlinear Darcy's law and Dirichlet boundary conditions.”

Multiscale convergence and reiterated homogenization of parabolic problems

Anders Holmbom, Nils Svanstedt, Niklas Wellander (2005)

Applications of Mathematics

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Reiterated homogenization is studied for divergence structure parabolic problems of the form ∂ u ε / ∂ t - div a x , x / ε , x / ε 2 , t , t / ε k ∇ u ε = f . It is shown that under standard assumptions on the function a ( x , y 1 , y 2 , t , τ ) the sequence { u ϵ } of solutions converges weakly in L 2 ( 0 , T ; H 0 1 ( Ω ) ) to the solution u of the homogenized problem ∂ u / ∂ t - div ( b ( x , t ) ∇ u ) = f .

Effective saturation for composite porous media

Micol Amar, Roberto Gianni (2003)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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This paper is devoted to the study of the homogenization of a porous medium, composed of different materials arranged in a periodic structure. This provides the profile of the saturation function for the limit material.