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math-ph2012
Asymptotic of grazing collisions for the spatially homogeneous Boltzmann equation for soft and Coulomb potentials
David Godinho
We give an explicit bound for the Wasserstein distance with quadratic cost between the solutions of Boltzmann's and Landau's equations in the case of soft and Coulomb potentials. T…
math-ph2011★ 8 cited
Asymptotic of grazing collisions and particle approximation for the Kac equation without cutoff
Nicolas Fournier, David Godinho
The subject of this article is the Kac equation without cutoff. We first show that in the asymptotic of grazing collisions, the Kac equation can be approximated by a Fokker-Planck…