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Universität Augsburg
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Universität Augsburg
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M. Sc. Flavio Antonio Donnarumma
Friedrich-Alexander-Universität, Erlangen
spricht am
Donnerstag, 12. Juni 2025
um
15:00 Uhr
im
Raum 2004 (L1)
über das Thema:
| 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. |
| Hierzu ergeht herzliche Einladung. |
| Prof. Dr. Bernd Schmidt |