Trend to equilibrium and particle approximation for a weakly selfconsistent Vlasov-Fokker-Planck equation

Details Trend to equilibrium and particle approximation for a weakly selfconsistent Vlasov-Fokker-Planck equation Trend to equilibrium and particle approximation for a weakly selfconsistent Vlasov-Fokker-Planck equation

2009-06-08

arxiv.org/abs/0906.1417v1

Mathematics

Probability

Scientific paper

We consider a Vlasov-Fokker-Planck equation governing the evolution of the density of interacting and diffusive matter in the space of positions and velocities. We use a probabilistic interpretation to obtain convergence towards equilibrium in Wasserstein distance with an explicit exponential rate. We also prove a propagation of chaos property for an associated particle system, and give rates on the approximation of the solution by the particle system. Finally, a transportation inequality for the distribution of the particle system leads to quantitative deviation bounds on the approximation of the equilibrium solution of the equation by an empirical mean of the particles at given time.

Affiliated with

Also associated with

No associations

Rating

Trend to equilibrium and particle approximation for a weakly selfconsistent Vlasov-Fokker-Planck equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Trend to equilibrium and particle approximation for a weakly selfconsistent Vlasov-Fokker-Planck equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Trend to equilibrium and particle approximation for a weakly selfconsistent Vlasov-Fokker-Planck equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-231686