Mathematical Sciences Department
Colloquium & Analysis/PDE Seminar
Speaker: Gianni Dal Maso, Professor of Calculus of Variations, SISSA
Friday, November 3, 2023
11:00 am - 12:00 pm
HA, Forkey Conference Room
Host: Chris Larsen
Title: New results on homogenisation of free discontinuity problems
Abstract: We study deterministic and stochastic homogenisation problems for free discontinuity functionals 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.