[Dottorcomp] Seminari di Matematica Applicata, 13/05/2025, Antonio Flavio Donnarumma

[Stefano Lisini]

Seminari di Matematica Applicata, Dipartimento di Matematica "F. Casorati"
e Istituto del CNR IMATI "E. Magenes" di Pavia.

Martedì 13 Maggio 2025 alle *ore 14.30 precise*, presso l'aula Beltrami del
Dipartimento di Matematica,

Antonio Flavio Donnarumma (AU Erlangen-Nürnberg)

terrà un seminario dal titolo:

Γ-convergence and stochastic homogenization of second order singular
perturbation models for phase transitions.

Abstract: We study the effective behavior of random, heterogeneous,
anisotropic, second order phase transitions energies that arise in the
study of pattern formations in physical-chemical systems. Specifically, we
study the asymptotic behavior, as ϵ goes to zero, of random heterogeneous
anisotropic functionals in which the second order perturbation competes not
only with a double well potential but also with a possibly negative
contribution given by the first order term. We prove that, under suitable
growth conditions and under a stationarity assumption, the functionals
Γ-converge almost surely to a surface energy whose density is independent
of the space variable. Furthermore, we show that the limit surface density
can be described via a suitable cell formula and is deterministic when
ergodicity is assumed.

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https://matematica.unipv.it/ricerca/cicli-di-seminari/seminari-di-matematica-applicata/