Change search
ReferencesLink to record
Permanent link

Direct link
A strange term in the homogenization of parabolic equations with two spatial and two temporal scales
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering and Sustainable Development. (Tillämpad matematik)ORCID iD: 0000-0001-6742-5781
(Tillämpad matematik)ORCID iD: 0000-0001-6742-5781
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering and Sustainable Development. (Tillämpad matematik)ORCID iD: 0000-0003-2942-6841
2012 (English)In: Journal of Function Spaces and Applications, ISSN 0972-6802, E-ISSN 1758-4965, Art. no. 643458- p.Article in journal (Refereed) Published
Abstract [en]

We study the homogenization of a parabolic equation with oscillations in both space and time in the coefficient a((x/()),(t/²)) in the elliptic part and spatial oscillations in the coefficient ((x/())) that is multiplied with the time derivative ∂_{t}u^{}. We obtain a strange term in the local problem. This phenomenon appears as a consequence of the combination of the spatial oscillation in ((x/())) and the temporal oscillation in a((x/()),(t/²)) and disappears if either of these oscillations is removed.

Place, publisher, year, edition, pages
2012. Art. no. 643458- p.
Keyword [en]
Homogenization, parabolic partial differential equations, two-scale convergence, very weak multiscale convergence
National Category
Mathematics
Identifiers
URN: urn:nbn:se:miun:diva-14550DOI: 10.1155/2012/643458ISI: 000301409700001ScopusID: 2-s2.0-84864936385OAI: oai:DiVA.org:miun-14550DiVA: diva2:444406
Available from: 2011-09-28 Created: 2011-09-28 Last updated: 2016-10-27Bibliographically approved

Open Access in DiVA

fulltext(1867 kB)7 downloads
File information
File name FULLTEXT01.pdfFile size 1867 kBChecksum SHA-512
adb72455da94bb527206efe1e98d249e3b071a34ca07eddbc379a1f62fcdaf9cd3fb7501d1669b7f5c10e29a2f33f6e424a816b4b0d54d4fc16e424aba81e77a
Type fulltextMimetype application/pdf

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Flodén, LiselottHolmbom, AndersOlsson Lindberg, Marianne
By organisation
Department of Engineering and Sustainable Development
In the same journal
Journal of Function Spaces and Applications
Mathematics

Search outside of DiVA

GoogleGoogle Scholar
Total: 7 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 65 hits
ReferencesLink to record
Permanent link

Direct link