Half-Laplacian Problems Related to Crystal Dislocations

GEOMETRIC PDE SEMINAR
Topic:Half-Laplacian Problems Related to Crystal Dislocations
Speaker:Maria del Mar Gonzalez
Affiliation:Universitat Politecnica de Catalunya, Spain and Member, School of Mathematics
Date:Tuesday, April 7
Time/Room:2:00pm - 3:00pm/S-101

Dislocations are line defects in crystals, and can be modeled using non-local operators. In this talk we will consider a related reaction-diffusion equation with a half-Laplacian. We show that the limit dynamics is characterized by a system of ODEs describing the motion of particles with two-body interactions. This is joint work with R. Monneau.