Long time behaviour of interacting particles through a vibrating medium: comparison between the N-particle systems and the natural kinetic equation dynamics

Autor: Vavasseur, Arthur

We are interested in a kinetic equation intended to describe the interactions of particles with their environment. We focus on the long time behaviour. We prove that the time derivative of the spatial density goes to 0 and exhibit the omega limit set

Externí odkaz: http://arxiv.org/abs/1904.04592

Particles interacting with a vibrating medium: existence of solutions and convergence to the Vlasov--Poisson system

Autor: De Bièvre, Stephan, Vavasseur, Arthur, Goudon, Thierry

We are interested in a kinetic equation intended to describe the interaction of particles with their environment. The environment is modeled by a collection of local vibrational degrees of freedom. We establish the existence of weak solutions for a w

Externí odkaz: http://arxiv.org/abs/1603.03575

Damping of particles interacting with a vibrating medium

Autor: Alonso, Ricardo, Goudon, Thierry, Vavasseur, Arthur

Publikováno v: In Annales de l'Institut Henri Poincaré / Analyse non linéaire December 2017 34(7):1727-1758

Mean field limit for particles interacting with a vibratingmedium

Autor: Goudon, Thierry, Vavasseur, Arthur

Publikováno v: Annali dell'Universita di Ferrara
Annali dell'Universita di Ferrara, Springer Verlag, 2016, 62 (2), pp.231-273
Annali dell'Universita di Ferrara, 2016, 62 (2), pp.231-273

International audience

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::330ce247e42c2c9609b9de70b67e85c7
https://hal.archives-ouvertes.fr/hal-01421703