# Γ-convergence of functionals on divergence-free fields

ESAIM: Control, Optimisation and Calculus of Variations (2007)

- Volume: 13, Issue: 4, page 809-828
- ISSN: 1292-8119

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topAnsini, Nadia, and Garroni, Adriana. "Γ-convergence of functionals on divergence-free fields." ESAIM: Control, Optimisation and Calculus of Variations 13.4 (2007): 809-828. <http://eudml.org/doc/250011>.

@article{Ansini2007,

abstract = {
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.
},

author = {Ansini, Nadia, Garroni, Adriana},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {$\{\cal A\}$-quasiconvexity; divergence-free fields; Γ-convergence; homogenization; -convergence; functionals on divergence free matrix-valued functions; -quasiconvexity; volume constraints},

language = {eng},

month = {9},

number = {4},

pages = {809-828},

publisher = {EDP Sciences},

title = {Γ-convergence of functionals on divergence-free fields},

url = {http://eudml.org/doc/250011},

volume = {13},

year = {2007},

}

TY - JOUR

AU - Ansini, Nadia

AU - Garroni, Adriana

TI - Γ-convergence of functionals on divergence-free fields

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2007/9//

PB - EDP Sciences

VL - 13

IS - 4

SP - 809

EP - 828

AB -
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.

LA - eng

KW - ${\cal A}$-quasiconvexity; divergence-free fields; Γ-convergence; homogenization; -convergence; functionals on divergence free matrix-valued functions; -quasiconvexity; volume constraints

UR - http://eudml.org/doc/250011

ER -

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