Tanaka Theorem for Inelastic Maxwell Models
Analysis of PDEs
2016-08-16 v1
Abstract
We show that the Euclidean Wasserstein distance is contractive for inelastic homogeneous Boltzmann kinetic equations in the Maxwellian approximation and its associated Kac-like caricature. This property is as a generalization of the Tanaka theorem to inelastic interactions. Consequences are drawn on the asymptotic behavior of solutions in terms only of the Euclidean Wasserstein distance.
Keywords
Cite
@article{arxiv.math/0604332,
title = {Tanaka Theorem for Inelastic Maxwell Models},
author = {François Bolley and José Antonio Carrillo},
journal= {arXiv preprint arXiv:math/0604332},
year = {2016}
}