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Homogenization of nonlinear partial differential operators
1999 (English)Independent thesis Advanced level (professional degree), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

Many physical phenomena are described by partial differential equations which include different scales, one global scale and some local scales. The homogenization theory is a very powerful tool for analyzing problems of this type. The main idea is to approximate the solutions of the original problem by the solution of a so called homogenized equation, which only depends on the global scale. The question is how to find the homogenized equation. During the mathematical analysis of this problem there arise a lot of delicate mathematical problems. The main purpose of this thesis is to collect some of the results and present them as an self contained introduction to the subject.

Place, publisher, year, edition, pages
1999.
Keyword [en]
Technology, Homogenization, Nonlinear, Partial Differential Equations, Functional Analysis, Monotone Operators, Asymptotic Expansion
Keyword [sv]
Teknik
Identifiers
URN: urn:nbn:se:ltu:diva-46780ISRN: LTU-EX--99/259--SELocal ID: 4664759a-0bcd-4789-95f3-b8cd30692223OAI: oai:DiVA.org:ltu-46780DiVA: diva2:1020095
Subject / course
Student thesis, at least 30 credits
Educational program
Civil Engineering programmes 1997-2000, master's level
Examiners
Note
Validerat; 20101217 (root)Available from: 2016-10-04 Created: 2016-10-04Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
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Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
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