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Homogenization of some partial differential operators
2001 (English)Independent thesis Advanced level (professional degree), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

This thesis is devoted to asymptotic behavior of the solutions of partial differential equations with periodically oscillating coefficients. Equations of this type arise in the modelling of various physical phenomena in e.g. composite materials. A common feature for these models is that two separate lenght scales are used, one microscopic which describes the heterogeneity, and one macroscopic which describes the global behavior. The aim is to characterize the macroscopic properties by taking into account the characteristics of the constituents and the local geometry. The branch of mathematics that deals with these types of problems is called homogenization. In this thesis we present some of the main ideas in the theory of homogenization as a selfcontained introduction to the subject.

Place, publisher, year, edition, pages
Keyword [en]
Technology, Homogenization, Partial Differential Equations, Monotone, Operators, Asymptotic Expansion
Keyword [sv]
URN: urn:nbn:se:ltu:diva-55391ISRN: LTU-EX--01/284--SELocal ID: c42e260f-08e1-4529-9dd7-940ef3e69705OAI: diva2:1028773
Subject / course
Student thesis, at least 30 credits
Educational program
Engineering Physics, master's level
Validerat; 20101217 (root)Available from: 2016-10-04 Created: 2016-10-04Bibliographically approved

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