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Homogenization of some parabolic operators with several time scales

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Abstract

The main focus in this paper is on homogenization of the parabolic problem ∂ t uɛ − ∇ · (a(x/ɛ,t/ɛ,t/ɛr)∇u ɛ) = 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.

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  1. Department of Engineering, Physics and Mathematics, Mid Sweden University, SE-831 25, Östersund, Sweden

    Liselott Flodén & Marianne Olsson

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  1. Liselott Flodén
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  2. Marianne Olsson
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Flodén, L., Olsson, M. Homogenization of some parabolic operators with several time scales. Appl Math 52, 431–446 (2007). https://doi.org/10.1007/s10492-007-0025-2

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  • DOI: https://doi.org/10.1007/s10492-007-0025-2

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