Geodesic
Homogenization of monotone parabolic problems with several temporal scales
Applications of Mathematics, Tome 57 (2012) no. 3, pp. 191-214.

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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.
DOI : 10.1007/s10492-012-0013-z
Classification : 35B05, 35B27, 35K59
Keywords: homogenization; $H$-convergence; multiscale convergence; parabolic; monotone; parabolic problem 
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Persson, Jens. Homogenization of monotone parabolic problems with several temporal scales. Applications of Mathematics, Tome 57 (2012) no. 3, pp. 191-214. doi : 10.1007/s10492-012-0013-z. http://geodesic.mathdoc.fr/articles/10.1007/s10492-012-0013-z/

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