arXiv:1501.02914 Abstract | arXiv Analytics

arXiv:1501.02914 [math.AP]Abstract References Reviews Resources

Long time behaviour and particle approximation of a generalized Vlasov dynamic

Published 2015-01-13Version 1

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.

Comments: 26 pages

Categories: math.AP, math-ph, math.MP, math.PR

Keywords: long time behaviour, generalized vlasov dynamic, particle approximation, approximate system satisfies, generalised vlasov equation

Related articles: Most relevant | Search more

arXiv:1207.1175 [math.AP] (Published 2012-07-05, updated 2013-04-20)

Invariant measures and long time behaviour for the Benjamin-Ono equation

Nikolay Tzvetkov, Nicola Visciglia

arXiv:1405.4954 [math.AP] (Published 2014-05-20)

Invariant measures and long time behaviour for the Benjamin-Ono equation III

Y. Deng, N. Tzvetkov, N. Visciglia

arXiv:1304.5056 [math.AP] (Published 2013-04-18, updated 2013-04-22)

Invariant measures and long time behaviour for the Benjamin-Ono equation II