Long time behaviour and particle approximation of a generalised Vlasov dynamic
File(s)
Accepted version
Author(s)
Duong, Manh Hong
Type
Journal Article
Abstract
In this paper, we are interested in a generalised Vlasov equation, which describes the evolution of the probability density of a particle evolving according to a generalised Vlasov dynamic. The achievement of the paper is twofold. Firstly, we obtain a quantitative rate of convergence to the stationary solution in the Wasserstein metric. Secondly, we provide a many-particle approximation for the equation and show that the approximate system satisfies the propagation of chaos property.
Date Issued
2015-07-07
Date Acceptance
2015-06-18
Citation
Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal, 2015, 127, pp.1-16
ISSN
0362-546X
Publisher
Elsevier
Start Page
1
End Page
16
Journal / Book Title
Nonlinear Analysis. Theory, Methods & Applications. An International Multidisciplinary Journal
Volume
127
Copyright Statement
© 2015 Elsevier Ltd. All rights reserved. This manuscript is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/
Identifier
https://doi.org/10.1016/j.na.2015.06.018
Subjects
Science & Technology
Physical Sciences
Mathematics, Applied
Mathematics
Long time behaviour
Particle approximation
Propagation of chaos
Generalised Vlasov dynamic
Wasserstein metric
FOKKER-PLANCK EQUATION
THERMOSTATS
LIMIT
0101 Pure Mathematics
0102 Applied Mathematics
Applied Mathematics
Notes
mrclass: 82C44 (60B10 60H10 60K35) mrnumber: 3392354 mrreviewer: Mohammad R. Rahimi Tabar
Publication Status
Published
Date Publish Online
2015-07-07