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Young measures and the absence of fine microstructures in a class of phase transitions

Published online by Cambridge University Press:  16 July 2009

João Palhoto Matos
João Palhoto Matos
Affiliation:
Departamento de Matemática, Instituto Superior Técnico, Av. Rovisco Pais, 1096 Lisboa Codex, Portugal
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Abstract

It is shown that for a class of pairs of energy wells the only Young measures having these wells as support must reduce to spatially constant Dirac masses. This implies the prediction that fine structures will be absent in certain crystal phase transitions.

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Type
Research Article
Information
European Journal of Applied Mathematics , Volume 3 , Issue 1 , March 1992 , pp. 31 - 54
Copyright
Copyright © Cambridge University Press 1992

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