Ημερομηνία: 01/12/2022
Ώρα: 15:00
Τόπος: Αίθουσα Α32
Ομιλητης: Giorgio Fusco, University of L'Aquila
Title:On the existence of triple junctions in bounded domains
Abstract:We consider a smooth nonnegative potential with exactly three nondegenerate zeros. A model of the bulk energy of a material which can exist in three different phases. By a variational approach we show that the connectivity of the phases is a sufficient condition for the existence of a triple junction solution of the vector Allen-Cahn equation in bounded two-dimensional domains. If time allows we also remark on the existence of triple junction solutions defined on the entire plane.