Crystal dislocation dynamics, collisions, relaxation times and asymptotics

We consider an equation (or a system of equations) inspired by the 
Peierls-Nabarro model for crystal dislocation. We study the evolution of 
such dislocation function and show that, at a macroscopic scale, the 
dislocations have the tendency to concentrate at single points of the 
crystal, where the size of the slip coincides with the natural periodicity 
of the medium. These dislocation points evolve according to the external 
stress and an interior potential which is either attractive or repulsive, 
according to the orientation of the dislocations.Collision of dislocations with opposite orientations may occur in finite 
time, and we study these collisions and the times of relaxation of the 
system.
We also consider a system of stationary equations with a perturbed 
potential and we construct heteroclinic, homoclinic and multibump orbits, 
providing an example of symbolic dynamics in a fractional setting.
http://cvgmt.sns.it/seminar/502/
            

When	Wed Mar 23, 2016 5pm – 6pm Coordinated Universal Time
Where	Sala Seminari Dipartimento di Matematica di Pisa (map)