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Very weak multiscale convergence
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering and Sustainable Development.
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering and Sustainable Development.ORCID iD: 0000-0001-6742-5781
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering and Sustainable Development.ORCID iD: 0000-0003-2942-6841
Mid Sweden University, Faculty of Science, Technology and Media, Department of Engineering and Sustainable Development.ORCID iD: 0000-0001-9984-2424
2010 (English)In: Applied Mathematics Letters, ISSN 0893-9659, E-ISSN 1873-5452, Vol. 23, no 10, p. 1170-1173Article in journal (Refereed) Published
Abstract [en]

We briefly recall the concept of multiscale convergence, which is a generalization of two-scale convergence. Then we investigate a related concept, called very weak multiscale convergence, and prove a compactness result with respect to this type of convergence. Finally we illustrate how this result can be used to study homogenization problems with several scales of oscillations.

Place, publisher, year, edition, pages
2010. Vol. 23, no 10, p. 1170-1173
Keywords [en]
Homogenization; Multiscale convergence; Parabolic; Two-scale convergence; Very weak multiscale convergence
National Category
Mathematics
Identifiers
URN: urn:nbn:se:miun:diva-11654DOI: 10.1016/j.aml.2010.05.005ISI: 000280890900007Scopus ID: 2-s2.0-77955424899OAI: oai:DiVA.org:miun-11654DiVA, id: diva2:323614
Available from: 2010-06-11 Created: 2010-06-11 Last updated: 2017-12-12Bibliographically approved

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Flodén, LiselottHolmbom, AndersOlsson, MariannePersson, Jens

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