Inserted: 17 jan 2006
Last Updated: 30 jan 2008
Journal: ESAIM: Control, Optimisation and Calculus of Variations
We study the stability of a sequence of integral functionals on divergence-free fields following the direct methods of $\Gamma$ convergence. We prove that the $\Gamma$-limit is an integral functional on divergence-free fields. Moreover, we show that the $\Gamma$-limit is also stable under volume constraint and various type of boundary conditions.