Morini: A variational approach to nonlocal curvature motions and to the crystalline mean curvature flow

In the first part of the talk I will present a comprehensive
theory that covers  in a unified way a rather large class of
(possibly) nonlocal geometric  flows bearing a gradient flow structure
with respect to suitable generalized perimeters. Within this framework
one can establish new existence and uniqueness results as well as
recover several examples scattered in the literature.In the second part I will discuss a new distributional formulation
that allows one to treat the highly "degenerate" case of crystalline
mean curvature motions and to establish the first   global-in-time
existence and uniqueness results for the crystalline mean curvature
flow  valid in all dimensions, for arbitrary (possibly unbounded)
initial sets, and for general (including crystalline) anisotropies.
http://cvgmt.sns.it/seminar/584/
            

When	Wed May 17, 2017 3pm – 4pm Coordinated Universal Time
Where	Sala Seminari (Dipartimento di Matematica di Pisa) (map)