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Title: Homogenization of monotone parabolic problems with several temporal scales (English)
Author: Persson, Jens
Language: English
Journal: Applications of Mathematics
ISSN: 0862-7940 (print)
ISSN: 1572-9109 (online)
Volume: 57
Issue: 3
Year: 2012
Pages: 191-214
Summary lang: English
Category: math
Summary: 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. (English)
Keyword: homogenization
Keyword: $H$-convergence
Keyword: multiscale convergence
Keyword: parabolic
Keyword: monotone
Keyword: parabolic problem
MSC: 35B05
MSC: 35B27
MSC: 35K59
idZBL: Zbl 1265.35018
idMR: MR2984600
DOI: 10.1007/s10492-012-0013-z
Date available: 2012-06-08T09:57:06Z
Last updated: 2020-07-02
Stable URL:
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