From the Hartree to the Vlasov dynamics: conditional strong convergence
Mathematical Physics
2020-03-03 v1 Analysis of PDEs
math.MP
Abstract
We review the recent results [45, 46] concerning the semiclassical limit from the Hartree dynamics to the Vlasov equation with singular potentials and extend them to the case of more general radial interactions. We prove that, at positive temperature, the Hartree dynamics converges in trace norm to the Vlasov one, for a particular class of initial states.
Keywords
Cite
@article{arxiv.2003.01001,
title = {From the Hartree to the Vlasov dynamics: conditional strong convergence},
author = {Chiara Saffirio},
journal= {arXiv preprint arXiv:2003.01001},
year = {2020}
}
Comments
19 pages