paper

The Aubry set for a version of the Vlasov equation

arXiv:1612.06284 · doi:10.1007/s00030-012-0126-8

Abstract

We check that several properties of the Aubry set, first proven for finite-dimensional Lagrangians by Mather and Fathi, continue to hold in the case of the infinitely many interacting particles of the Vlasov equation on the circle.