Stability of steady states in kinetic Fokker-Planck equations for Bosons and Fermions

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We study a class of nonlinear kinetic Fokker-Planck type equations modeling quantum particles which obey the Bose-Einstein and Fermi-Dirac statistics, respectively. We establish the existence of classical solutions in the perturbative regime and prove exponential convergence towards the equilibrium.
13 pages. to appear in Comm. Math. Sci

Keywords

Analysis of PDEs, Mathematical Physics, 82C40, 82C10, 76R50, 82D37

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/135327

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0707.4594
 http://arxiv.org/abs/0707.4594

Collections

arXiv