Special Session 124: Mathematical methods for heterogeneous media
Dynamics of screened particles towards equispaced ground states and applications to misfit dislocations
Marcello Ponsiglione
Sapienza, University of Roma Italy
Co-Author(s):
Abstract:
We analyse the dynamics - driven by the gradient flow of negative fractional seminorms - of empirical measures towards equispaced ground states.
In particular, we prove the optimality of equispaced misfit dislocations at semi-coherent interfaces