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Some microstructures in three dimensions


Chipot, M; Lécuyer, V (2001). Some microstructures in three dimensions. In: Falcone, M; Makridakis, C. Numerical methods for viscosity solutions and applications (Heraklion, 1999). River Edge, NJ: World Scientific, 59-76.

Abstract

The goal of the paper is to analyze the creation of microstructures in problems of Calculus of Variations with wells. More precisely we consider a case with strong incompatibility between the wells in dimension three. This forces the minimizing sequences to use other gradients than the wells in a complicated way.

The goal of the paper is to analyze the creation of microstructures in problems of Calculus of Variations with wells. More precisely we consider a case with strong incompatibility between the wells in dimension three. This forces the minimizing sequences to use other gradients than the wells in a complicated way.

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Additional indexing

Item Type:Book Section, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Uncontrolled Keywords:microstructure; well; incompatibility; quasi-convex envelope; minimization problems; Young measure; Dirac measures
Language:English
Date:2001
Deposited On:28 Jun 2010 13:48
Last Modified:05 Apr 2016 13:25
Publisher:World Scientific
Series Name:Series on Advances in Mathematics for Applied Sciences
Number:59
ISBN:981-02-4717-6
Official URL:http://ebooks.worldscinet.com/ISBN/9789812799807/9789812799807_0004.html
Related URLs:http://www.ams.org/mathscinet-getitem?mr=1886707
http://www.zentralblatt-math.org/zbmath/search/?q=an%3A1010.49012

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