| Issue |
ESAIM: COCV
Volume 13, Number 4, October-December 2007
|
|
|---|---|---|
| Page(s) | 809 - 828 | |
| DOI | https://doi.org/10.1051/cocv:2007041 | |
| Published online | 05 September 2007 | |
Γ-convergence of functionals on divergence-free fields
1
Section de Mathématiques,
EPFL, 1015 Lausanne, Switzerland; nadia.ansini@epfl.ch
2
Dip. di Matematica, Univ. di Roma `La Sapienza', P.le A. Moro
2, 00185 Rome, Italy; garroni@mat.uniroma1.it
Received:
18
January
2006
We study the stability of a sequence of integral functionals on divergence-free matrix valued fields following the direct methods of Γ-convergence. We prove that the Γ-limit is an integral functional on divergence-free matrix valued fields. Moreover, we show that the Γ-limit is also stable under volume constraint and various type of boundary conditions.
Mathematics Subject Classification: 35E99 / 35J99 / 49J45
Key words: >𝓐-quasiconvexity / divergence-free fields / Γ-convergence / homogenization
© EDP Sciences, SMAI, 2007
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