@inproceedings{13f286c8c98c4566b8ec892dc71a5dba,
title = "A discussion of a homogenization procedure for a degenerate linear hyperbolic-parabolic problem",
abstract = "We study the homogenization of a hyperbolic-parabolic PDE with oscillations in one fast spatial scale. Moreover, the first order time derivative has a degenerate coefficient passing to infinity when ϵ→0. We obtain a local problem which is of elliptic type, while the homogenized problem is also in some sense an elliptic problem but with the limit for ϵ-1∂tuϵ as an undetermined extra source term in the right-hand side. The results are somewhat surprising and work remains to obtain a fully rigorous treatment. Hence the last section is devoted to a discussion of the reasonability of our conjecture including numerical experiments.",
author = "L. Flod{\'e}n and A. Holmbom and P. Jonasson and T. Lobkova and Lindberg, {M. Olsson} and Y. Zhang",
note = "Publisher Copyright: {\textcopyright} 2017 Author(s).; 11th International Conference on Mathematical Problems in Engineering, Aerospace and Sciences, ICNPAA 2016 ; Conference date: 04-07-2016 Through 08-07-2016",
year = "2017",
month = jan,
day = "27",
doi = "10.1063/1.4972769",
language = "English",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics Inc.",
editor = "Seenith Sivasundaram",
booktitle = "ICNPAA 2016 World Congress",
address = "United States",
}