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Homogenization of quasilinear parabolic problems by the method of Rothe and two scale convergence
Department of Mathematics and Statistics, University of Cape Coast.
Department of Mathematics and Statistics, University of Cape Coast.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
2010 (English)In: Applications of Mathematics, ISSN 0862-7940, E-ISSN 1572-9109, Vol. 55, no 4, p. 305-327Article in journal (Refereed) Published
Abstract [en]

We consider a quasilinear parabolic problem with time dependent coefficients oscillating rapidly in the space variable. The existence and uniqueness results are proved by using Rothe's method combined with the technique of two-scale convergence. Moreover, we derive a concrete homogenization algorithm for giving a unique and computable approximation of the solution.

Place, publisher, year, edition, pages
2010. Vol. 55, no 4, p. 305-327
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-11740DOI: 10.1007/s10492-010-0023-7ISI: 000294844500003Scopus ID: 2-s2.0-78649593681Local ID: abd809e0-086b-11e0-b767-000ea68e967bOAI: oai:DiVA.org:ltu-11740DiVA, id: diva2:984690
Note
Validerad; 2010; 20101215 (andbra)Available from: 2016-09-29 Created: 2016-09-29 Last updated: 2018-07-10Bibliographically approved

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Essel, Emmanuel KwamePersson, Lars-Erik

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