Homogenization of monotone parabolic problems with an arbitrary number of spatial and temporal scales
Analysis of PDEs
2020-01-17 v3
Abstract
In this paper we prove a general homogenization result for monotone parabolic problems with an arbitrary number of microscopic scales in space as well as in time, where the scale functions are not necessarily powers of epsilon. The main tools for the homogenization procedure are multiscale convergence and very weak multiscale convergence, both adapted to evo lution problems. At the end of the paper an example is given to concretize the use of the main result.
Keywords
Cite
@article{arxiv.1704.01375,
title = {Homogenization of monotone parabolic problems with an arbitrary number of spatial and temporal scales},
author = {T. Danielsson and L. Flodén and P. Johnsen and M. Olsson Lindberg},
journal= {arXiv preprint arXiv:1704.01375},
year = {2020}
}