Homogenization of some parabolic operators with several time scales |
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Authors: | Liselott Flodén Marianne Olsson |
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Affiliation: | 1.Department of Engineering, Physics and Mathematics,Mid Sweden University,?stersund,Sweden |
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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/ɛ r )∇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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Keywords: | homogenization G-convergence multiscale convergence parabolic asymptotic expansion |
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