On the dynamics of large particle systems in the mean field limit
F Golse - Macroscopic and large scale phenomena: coarse …, 2016 - Springer
This course explains how the usual mean field evolution partial differential equations (PDEs)
in Statistical Physics—such as the Vlasov-Poisson system, the vorticity formulation of the two …
in Statistical Physics—such as the Vlasov-Poisson system, the vorticity formulation of the two …
Derivation of the Schrödinger–Poisson equation from the quantum -body problem
C Bardos, L Erdös, F Golse… - Comptes …, 2002 - comptes-rendus.academie-sciences …
Derivation of the Schrödinger–Poisson equation from the quantum N-body problem Page 1 CR
Acad. Sci. Paris, Ser. I 334 (2002) 515–520 Physique mathématique/Mathematical Physics …
Acad. Sci. Paris, Ser. I 334 (2002) 515–520 Physique mathématique/Mathematical Physics …
The limit from the Schrödinger‐Poisson to the Vlasov‐Poisson equations with general data in one dimension
P Zhang, Y Zheng, NJ Mauser - Communications on Pure and …, 2002 - Wiley Online Library
We deal with the classical limit of the Schrödinger-Poisson system to the Vlasov-Poisson
equations as the Planck constant ϵ goes to zero. This limit is also frequently called …
equations as the Planck constant ϵ goes to zero. This limit is also frequently called …
Empirical measures and Vlasov hierarchies
The present note reviews some aspects of the mean field limit for Vlasov type equations with
Lipschitz continuous interaction kernel. We discuss in particular the connection between the …
Lipschitz continuous interaction kernel. We discuss in particular the connection between the …
Modeling and experimental observation of mixing and violent relaxation in an analogue gravitational system
M Lovisetto - 2022 - theses.hal.science
Equations of the Schrödinger-Newton type appear naturally in different domains of research.
In cosmology, they are used to model the formation of large scale structures in the universe …
In cosmology, they are used to model the formation of large scale structures in the universe …
Collisionless Models
A Jüngel - Transport Equations for Semiconductors, 2009 - Springer
Collisionless Models Page 1 Chapter 3 Collisionless Models In this chapter, we consider only
long-range interactions, like Coulomb forces, leading to the semi-classical Liouville or Vlasov …
long-range interactions, like Coulomb forces, leading to the semi-classical Liouville or Vlasov …