Το Σεμινάριο Εφαρμοσμένης Ανάλυσης & Μερικών Διαφορικών Εξισώσεων 
users.uoa.gr/~nalikako/seminar/
γίνεται διαδικτυακά, μέσω google meet.

Σύνδεσμος:https://meet.google.com/sru-gxoc-gzw

Ημερομηνία: Παρασκευή 23/4/2021

Ώρα: 15:15

Ομιλητής: Giovanni Bellettini (Università degli Studi di Siena & ICTP, Italy)

Τίτλος: Nonlocality of the area functional for two-codimensional graphs of nonsmooth maps in R^4

Περίληψη: We discuss some properties of the area functional for graphs of certain nonsmooth maps u, in dimension two and codimension two. Geometrically, the problem is to  understand how to fill the "holes" in the graph of u (which are due to its nonsmoothness) with smooth two-dimensional graphs in R^4, keeping the area as small as possible. We
focus attention on the vortex map u and, possibly, on particular piecewise constant maps.