Gamma-convergence for pattern forming systems with competing interactions

Mercoledi` 18 gennaio 2012 - Cyrill Muratov


Mercoledi` 18 gennaio 2012 alle ore 13:00 in aula 2BC30, Cyrill Muratov (New Jersey Institute of Technology) terra' un seminario dal titolo "Gamma-convergence for pattern forming systems with competing interactions".

I will discuss a problem of energy-driven pattern formation, in which the appearance of two distinct phases caused by short-range attractive forces is frustrated by a long-range repulsive force. I will focus on the regime of strong compositional asymmetry, in which one of the phases has very small volume fraction, thus creating small droplets of the minority phase in a sea of the majority phase. I will present a setting for the study of Gamma-convergence of the governing energy functional in the regime leading to many droplets. The Gamma-limit and the properties of almost minimizers with prescribed limit density will then be established in the important physical case when the long-range repulsive force is Coulombic in two space dimensions. This is joint work with D. Goldman and S. Serfaty.

Rif. int. M. Bardi, C. Marchi, M. Novaga

Download Pagina web

NEWS: Sciopero dei docenti e svolgimento degli esami - L'eventuale astensione riguardera' il primo appello d'esame programmato nel periodo 28 agosto - 31 ottobre 2017. X