| Contents |
| We consider an evolution equation arising in 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 repulsive potential. The results presented
were obtained in collaboration with A. Figalli,
G. Palatucci and E. Valdinoci. |
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