On rigidity for differential inclusions into nowhere Elliptic curves in 2x2 matrices

par Andrew Lorent (University of Cincinnati)

lundi 27 nov. 2023, 14:00 → 15:00 Europe/Paris

Amphi Schwartz

After surveying results on differential inclusions we will state a regularity/rigidity result for differential inclusions into a class of nowhere Elliptic connected closed curves in 2x2 matrices. This results generalizes our previous result for the special case of the  nowhere Elliptic closed curve (that arises in the study of the Aviles Giga conjecture) to a somewhat general class of nowhere Elliptic curves.  The methods of the proof are from the theory of the Aviles Giga functional and from scalar conservation laws. The main proof ideas will be motivated and sketched in broad outline.