Propagation of chaos for the Vlasov–Poisson–Fokker–Planck equation with a polynomial cut-off
2019 ◽
Vol 21
(04)
◽
pp. 1850039
◽
Keyword(s):
We consider a [Formula: see text]-particle system interacting through the Newtonian potential with a polynomial cut-off in the presence of noise in velocity. We rigorously prove the propagation of chaos for this interacting stochastic particle system. Taking the cut-off like [Formula: see text] with [Formula: see text] in the force, we provide a quantitative error estimate between the empirical measure associated to that [Formula: see text]-particle system and the solutions of the [Formula: see text]-dimensional Vlasov–Poisson–Fokker–Planck (VPFP) system. We also study the propagation of chaos for the Vlasov–Fokker–Planck equation with less singular interaction forces than the Newtonian one.
2013 ◽
Vol 15
(05)
◽
pp. 1350017
◽
2021 ◽
2006 ◽
Vol 123
(3)
◽
pp. 525-546
◽
1998 ◽
Vol 168
(4)
◽
pp. 475
◽
2020 ◽
Vol 23
(2)
◽
pp. 450-483
◽
Keyword(s):