Asymptotic of grazing collisions for the spatially homogeneous Boltzmann equation for soft and Coulomb potentials

STOCHASTIC PROCESSES AND THEIR APPLICATIONS

卷:123

Article

Godinho, David

关键词: Kinetic theory;    Boltzmann equation;    Landau equation;    Grazing collisions;   

DOI  :  10.1016/j.spa.2013.06.005

来源: Elsevier

【 摘 要 】

We give an explicit bound for the Wasserstein distance with quadratic cost between the solutions of the Boltzmann and Landau equations in the case of soft and Coulomb potentials. This gives an explicit rate of convergence for the grazing collisions limit. Our result is local in time for very soft and Coulomb potentials and global in time for moderately soft potentials. (c) 2013 Elsevier B.V. All rights reserved.

【 授权许可】

Free