Upper Maxwellian bounds for the spatially homogeneous Boltzmann equation

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

For the spatially homogeneous Boltzmann equation with cutoff hard potentials it is shown that solutions remain bounded from above, uniformly in time, by a Maxwellian distribution, provided the initial data have a Maxwellian upper bound. The main technique is based on a comparison principle that uses a certain dissipative property of the linear Boltzmann equation. Implications of the technique to propagation of upper Maxwellian bounds in the spatially-inhomogeneous case are discussed.

Keywords

Analysis of PDEs, Mathematical Physics, 82C40, 35B05, 76P05

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/121042

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0701081
 http://arxiv.org/abs/math/0701081

Collections

arXiv