Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
839477 | Nonlinear Analysis: Theory, Methods & Applications | 2015 | 16 Pages |
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.
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Authors
Manh Hong Duong,