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From the Hartree equation to the Vlasov-Poisson system: strong convergence for a class of mixed states

Saffirio, Chiara. (2021) From the Hartree equation to the Vlasov-Poisson system: strong convergence for a class of mixed states. Preprints Fachbereich Mathematik, 2021 (06).

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Abstract

We consider the evolution of $N$ fermions interacting through a Coulomb or gravitational potential in the mean-field limit as governed by the nonlinear Hartree equation with Coulomb or gravitational interaction. In the limit of large $N$, we study the convergence in trace norm towards the classical Vlasov-Poisson equation for a special class of mixed quasi-free states.
Faculties and Departments:12 Special Collections > Preprints Fachbereich Mathematik
05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Mathematical Physics (Saffirio)
UniBasel Contributors:Saffirio, Chiara
Item Type:Preprint
Publisher:Universität Basel
Language:English
edoc DOI:
Last Modified:01 Feb 2021 20:49
Deposited On:01 Feb 2021 20:49

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