The Aubry set for a version of the Vlasov equation
Analysis of PDEs
2016-12-20 v1 Optimization and Control
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.
Cite
@article{arxiv.1612.06284,
title = {The Aubry set for a version of the Vlasov equation},
author = {Ugo Bessi},
journal= {arXiv preprint arXiv:1612.06284},
year = {2016}
}