ABSTRACT OF THE TALK
I will present some results on the asymptotic behavior of arbitrary solutions of a fractional Allen-Cahn equation, possibly with a forcing term, as the usual small parameter goes to zero. In the limit solutions subconverge to stationary nonlocal minimal surfaces in case of no forcing, and to surfaces of prescribed fractional mean curvature in the perturbed case. Regularity issues for stationary nonlocal minimal surfaces will also be discussed. This is based on a joint work with Yannick Sire and Kelei Wang.
BIOGRAPHY
Vincent Millot received his PhD degree in mathematics in 2005 from the University Paris 6. He was appointed as a postdoctoral fellow at Carnegie Mellon University from 2005 to 2007. He’s currently associated professor at University Paris 7 and affiliated to the Ecole Normale Supérieure de Paris. His research interests fall in the field of Calculus of Variations and Partial Differential Equations.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai