Geodesic
Damping of particles interacting with a vibrating medium
Annales de l'I.H.P. Analyse non linéaire, Tome 34 (2017) no. 7, pp. 1727-1758
Cet article a éte moissonné depuis la source Numdam

Voir la notice de l'article

We investigate the large time behavior of the solutions of a Vlasov–Fokker–Planck equation where particles are subjected to a confining external potential and a self-consistent potential intended to describe the interaction of the particles with their environment. The environment is seen as a medium vibrating in a direction transverse to particles' motion. We identify equilibrium states of the model and justify the asymptotic trend to equilibrium. The analysis relies on hypocoercivity techniques.

DOI : 10.1016/j.anihpc.2016.12.005
Classification : 82C70, 70F45, 37K05, 74A25
Keywords: Vlasov–Fokker–Planck equations, Interacting particles, Inelastic Lorentz gas, Relaxation to equilibrium, Hypocoercivity 
@article{AIHPC_2017__34_7_1727_0,
     author = {Alonso, Ricardo and Goudon, Thierry and Vavasseur, Arthur},
     title = {Damping of particles interacting with a vibrating medium},
     journal = {Annales de l'I.H.P. Analyse non lin\'eaire},
     pages = {1727--1758},
     year = {2017},
     publisher = {Elsevier},
     volume = {34},
     number = {7},
     doi = {10.1016/j.anihpc.2016.12.005},
     mrnumber = {3724755},
     zbl = {1386.82062},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2016.12.005/}
}
TY  - JOUR
AU  - Alonso, Ricardo
AU  - Goudon, Thierry
AU  - Vavasseur, Arthur
TI  - Damping of particles interacting with a vibrating medium
JO  - Annales de l'I.H.P. Analyse non linéaire
PY  - 2017
SP  - 1727
EP  - 1758
VL  - 34
IS  - 7
PB  - Elsevier
UR  - http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2016.12.005/
DO  - 10.1016/j.anihpc.2016.12.005
LA  - en
ID  - AIHPC_2017__34_7_1727_0
ER  - 
%0 Journal Article
%A Alonso, Ricardo
%A Goudon, Thierry
%A Vavasseur, Arthur
%T Damping of particles interacting with a vibrating medium
%J Annales de l'I.H.P. Analyse non linéaire
%D 2017
%P 1727-1758
%V 34
%N 7
%I Elsevier
%U http://geodesic.mathdoc.fr/articles/10.1016/j.anihpc.2016.12.005/
%R 10.1016/j.anihpc.2016.12.005
%G en
%F AIHPC_2017__34_7_1727_0
Alonso, Ricardo; Goudon, Thierry; Vavasseur, Arthur. Damping of particles interacting with a vibrating medium. Annales de l'I.H.P. Analyse non linéaire, Tome 34 (2017) no. 7, pp. 1727-1758. doi: 10.1016/j.anihpc.2016.12.005

Cité par Sources :