On a generalized Boltzmann equation for non-classical particle transport

Martin Frank; Thierry Goudon

doi:10.3934/krm.2010.3.395

Article Contents

2010, Volume 3, Issue 3: 395-407. Doi: 10.3934/krm.2010.3.395

This issue Previous Article Galerkin methods for primary ion transport in inhomogeneous media Next Article Stability of viscous shock wave for compressible Navier-Stokes equations with free boundary

On a generalized Boltzmann equation for non-classical particle transport

Martin Frank^1, and
Thierry Goudon^2,

1.
RWTH Aachen University, Department of Mathematics & Center for Computational Engineering Science, Schinkelstrasse 2, D-52062 Aachen
2.
Project-Team SIMPAF–INRIA Lille Nord Europe & Labo. Paul Painlevé CNRS–USTLille, Park Plazza, 40 avenue Halley, F-59650 Villeneuve d’Ascq cedex

Received: June 30, 2009

Revised: May 31, 2010

Published: August 2010

Abstract Related Papers Cited by

Abstract

We are interested in non-standard transport equations where the description of the scattering events involves an additional "memory variable''. We establish the well posedness and investigate the diffusion asymptotics of such models. While the questions we address are quite classical the analysis is original since the usual dissipative properties of collisional transport equations is broken by the introduction of the memory terms.

Keywords:

Mathematics Subject Classification: Primary: 35Q99; Secondary: 35B25, 82C70.

Citation:

Article Metrics

HTML views() PDF downloads(131) Cited by(0)

On a generalized Boltzmann equation for non-classical particle transport

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

On a generalized Boltzmann equation for non-classical particle transport

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content