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Benedikter, Niels; Porta, Marcello; Saffirio, Chiara; Schlein, Benjamin (2016). From the Hartree dynamics to the Vlasov equation. Archiv for Rational Mechanics and Analysis, 221(1):273-334.
We consider the evolution of quasi-free states describing $\mathit{N}$ fermions in the mean field limit, as governed by the nonlinear Hartree equation. In the limit of large $\mathit{N}$, we study the convergence towards the classical Vlasov equation. For a class of regular interaction potentials, we establish precise bounds on the 0rate of convergence.
| Item Type: | Journal Article, not_refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Analysis
Physical Sciences > Mathematics (miscellaneous) Physical Sciences > Mechanical Engineering |
| Language: | English |
| Date: | January 2016 |
| Deposited On: | 01 Feb 2017 11:09 |
| Last Modified: | 15 Aug 2024 01:40 |
| Publisher: | Springer |
| ISSN: | 0003-9527 |
| OA Status: | Green |
| Publisher DOI: | https://doi.org/10.1007/s00205-015-0961-z |
Benedikter, Niels