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.
Original language | English |
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Pages (from-to) | 1-16 |
Number of pages | 16 |
Journal | Nonlinear Analysis: Theory, Methods & Applications |
Volume | 127 |
Early online date | 7 Jul 2015 |
DOIs | |
Publication status | Published - Nov 2015 |
Keywords
- Long time behaviour
- Particle approximation
- propagation of chaos
- Generalised Vlasov dynamic
- Wasserstein metric