Γ-convergence of functionals on divergence-free fields
Section de Mathématiques,
EPFL, 1015 Lausanne, Switzerland; firstname.lastname@example.org
2 Dip. di Matematica, Univ. di Roma `La Sapienza', P.le A. Moro 2, 00185 Rome, Italy; email@example.com
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: -quasiconvexity / divergence-free fields / Γ-convergence / homogenization
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