Special Session 16: 

Motion by mean curvature from Glauber-Kawasaki dynamics

Tadahisa Funaki
Waseda University
Japan
Co-Author(s):    Kenkichi Tsunoda
Abstract:
We derive the motion by mean curvature directly from a particle system on a periodic square lattice called Glauber-Kawasaki dynamics. This problem was discussed by Katsoulakis and Souganidis, but our method is different and relies on an estimate on the relative entropy.