ΕΚΔΗΛΩΣΕΙΣ

ΣΕΜΙΝΑΡΙΟ ΕΦΑΡΜΟΣΜΕΝΗΣ ΑΝΑΛΥΣΗΣ ΚΑΙ ΜΔΕ -ON THE EXISTENCE OF TRIPLE JUNCTIONS IN BOUNDED DOMAINS

Πέμπτη 01 Δεκεμβρίου 2022
Σεμιναριο Εφαρμοσμενης Αναλυσης και ΜΔΕ -On the existence of triple junctions in bounded domains

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.