A mean-field toy model for resonant transport

Patrick Gerard; Christophe Pallard

doi:10.3934/krm.2010.3.299

Article Contents

2010, Volume 3, Issue 2: 299-309. Doi: 10.3934/krm.2010.3.299

This issue Previous Article Rigorous validity of the Boltzmann equation for a thin layer of a rarefied gas Next Article Analytical and numerical investigations of refined macroscopic traffic flow models

A mean-field toy model for resonant transport

Patrick Gerard^1, and
Christophe Pallard^1,

1.
Université Paris-Sud XI, Laboratoire de Mathématiques, 91405 Orsay Cedex

Received: August 31, 2009

Revised: October 31, 2009

Published: May 2010

Abstract Related Papers Cited by

Abstract

We consider a simple one dimensional mean-field equation modeling a resonant setting in a coupled wave + transport system. Using elementary methods, we obtain sufficient conditions on the initial data to ensure global existence or blow-up in finite time.

Keywords:

Mathematics Subject Classification: Primary: 35Q83, 35B40; Secondary: 82D10.

Citation:

Article Metrics

HTML views() PDF downloads(89) Cited by(0)

A mean-field toy model for resonant transport

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

A mean-field toy model for resonant transport

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content