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Γ-convergence of functionals on divergence-free fields

Published online by Cambridge University Press:  05 September 2007

Nadia Ansini  and
Adriana Garroni
Nadia Ansini
Affiliation:
Section de Mathématiques, EPFL, 1015 Lausanne, Switzerland; nadia.ansini@epfl.ch
Adriana Garroni
Affiliation:
Dip. di Matematica, Univ. di Roma `La Sapienza', P.le A. Moro 2, 00185 Rome, Italy; garroni@mat.uniroma1.it
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Abstract

We study the stability of a sequence of integralfunctionals on divergence-free matrix valued fields following the directmethods of Γ-convergence. We prove that the Γ-limitis an integral functional on divergence-free matrix valued fields.Moreover, we show that the Γ-limit is also stable undervolume constraint and various type of boundary conditions.

Keywords

${\cal A}$ -quasiconvexitydivergence-free fieldsΓ-convergencehomogenization

Information

Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 13 , Issue 4 , October 2007 , pp. 809 - 828
Copyright
© EDP Sciences, SMAI, 2007

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