| 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.