Calculus of Variations and Geometric Measure Theory

Colloquio De Giorgi. Homogenisation of free discontinuity problems: the vectorial case

Gianni Dal Maso (SISSA Trieste)

created by malchiodi on 03 Jul 2024

3 jul 2024 -- 16:00   [open in google calendar]

Scuola Normale Superiore, Sala Azzurra

Abstract.

We study deterministic and stochastic homogenisation problems for free discontinuity functionals depending on vector-valued functions under new hypotheses on the surface energies. The results are based on a compactness theorem with respect to Gamma-convergence, on the characterisation of the integrands of the Gamma-limit by means of limits of minimum values of some auxiliary minimum problems on small cubes, and on the subadditive ergodic theorem for the stochastic part.