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Gamma-convergence and stochastic homogenization for functionals in the A-free setting

15 Jul 2026, 10:00

50m

Aula Dini (Palazzo del Castelletto)

Speaker

Gianni Dal Maso (SISSA)

Description

We obtain a compactness result for Gamma-convergence of integral functionals defined on A-free vector fields. This is used to study homogenization problems for these functionals without periodicity assumptions. More precisely, we prove that the homogenized integrand can be obtained by taking limits of minimum values of suitable minimization problems on large cubes, when the side length of these cubes tends to infinity, assuming that these limit values do not depend on the center of the cube.
Under the usual stochastic periodicity assumptions, this result is then used to solve the stochastic homogenization problem by means of the subadditive ergodic theorem.