Displaying similar documents to “Homogenization of monotone parabolic problems with several temporal scales”

Homogenization of some parabolic operators with several time scales

Liselott Flodén, Marianne Olsson (2007)

Applications of Mathematics

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The main focus in this paper is on homogenization of the parabolic problem ∂ t u ε - ∇ · ( a ( x / ε , t / ε , t / ε r ) ∇ u ε ) = f . Under certain assumptions on a , there exists a G -limit b , which we characterize by means of multiscale techniques for r > 0 , r ≠ 1 . Also, an interpretation of asymptotic expansions in the context of two-scale convergence is made.

Homogenization of parabolic equations an alternative approach and some corrector-type results

Anders Holmbom (1997)

Applications of Mathematics

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We extend and complete some quite recent results by Nguetseng [Ngu1] and Allaire [All3] concerning two-scale convergence. In particular, a compactness result for a certain class of parameterdependent functions is proved and applied to perform an alternative homogenization procedure for linear parabolic equations with coefficients oscillating in both their space and time variables. For different speeds of oscillation in the time variable, this results in three cases. Further, we prove...

Homogenization and localization in locally periodic transport

Grégoire Allaire, Guillaume Bal, Vincent Siess (2002)

ESAIM: Control, Optimisation and Calculus of Variations

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In this paper, we study the homogenization and localization of a spectral transport equation posed in a locally periodic heterogeneous domain. This equation models the equilibrium of particles interacting with an underlying medium in the presence of a creation mechanism such as, for instance, neutrons in nuclear reactors. The physical coefficients of the domain are ε -periodic functions modulated by a macroscopic variable, where ε is a small parameter. The mean free path of the particles...