Homogenization of monotone parabolic problems with several temporal scales |
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Authors: | Jens Persson |
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Affiliation: | 1. Department of Engineering and Sustainable Development, Mid Sweden University, SE-831 25, ?stersund, Sweden
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Abstract: | In this paper we homogenize monotone parabolic problems with two spatial scales and any number of temporal scales. Under the assumption that the spatial and temporal scales are well-separated in the sense explained in the paper, we show that there is an H-limit defined by at most four distinct sets of local problems corresponding to slow temporal oscillations, slow resonant spatial and temporal oscillations (the ??slow?? self-similar case), rapid temporal oscillations, and rapid resonant spatial and temporal oscillations (the ??rapid?? self-similar case), respectively. |
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