We study the stability of a sequence of integral functionals on divergence-free matrix valued fields following the direct methods of Gamma-convergence. We prove that the Gamma-limit is an integral functional on divergence-free matrix valued fields. Moreover, we show that the Gamma-limit is also stable under volume constraint and various type of boundary conditions.
Gamma-convergence of integral functionals on divergence free fields / Ansini, Nadia; Garroni, Adriana. - In: ESAIM. COCV. - ISSN 1292-8119. - 13 n.4:(2007), pp. 809-828. [10.1051/cocv:2007041]
Gamma-convergence of integral functionals on divergence free fields
ANSINI, NADIA;GARRONI, Adriana
2007
Abstract
We study the stability of a sequence of integral functionals on divergence-free matrix valued fields following the direct methods of Gamma-convergence. We prove that the Gamma-limit is an integral functional on divergence-free matrix valued fields. Moreover, we show that the Gamma-limit is also stable under volume constraint and various type of boundary conditions.File allegati a questo prodotto
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