6 jun 2025 -- 17:00   [open in google calendar]

Abstract.

We analyze the dynamics - driven by the gradient flow of negative fractional seminorms - of empirical measures towards equi-spaced ground states. We prove that the ground states are the equi-spaced configurations of particles. Then, we prove the exponential convergence of the corresponding gradient flows to the equi-spaced steady states. Finally, we will discuss some applications to misfit dislocations. This is a joint work with L. De Luca and M. Goldman.