@inproceedings{c1c6afecdf3242a096deef521b69b0b9,
title = "Periodic homogenization of a pseudo-parabolic equation via a spatial-temporal decomposition",
abstract = "Pseudo-parabolic equations have been used to model unsaturatedfluid flow in porous media. In this paper it is shown how a pseudo-parabolicequation can be upscaled when using a spatio-temporal decomposition employed in the Peszy´nska-Showalter-Yi paper [8]. The spatial-temporal decomposition transforms the pseudo-parabolic equation into a system containing an elliptic partial differential equation and a temporal ordinary differential equation. To strengthen our argument, the pseudo-parabolic equation has been given advection/convection/drift terms. The upscaling is done with the technique of periodic homogenization via two-scale convergence. The wellposedness of the extended pseudo-parabolic equation is shown as well. Moreover, we argue that under certain conditions, a non-local-in-time term arises from the elimination of an unknown. ",
author = "Arthur Vromans and {van de Ven}, Fons and A. Muntean",
year = "2019",
month = apr,
day = "15",
language = "English",
series = "The European Consortium for Mathematics in Industry Series",
publisher = "Springer",
editor = "{Farag{\' }o}, I and {Izs{\' }ak}, F. and P. Simon",
booktitle = "Proceedings of The 20th European Conference on Mathematics for Industry",
address = "Germany",
note = "20th European Conference on Mathematics for Industry ; Conference date: 18-06-2018 Through 22-06-2018",
}