Solutions with large total variation to nonconservative hyperbolic systems

Rinaldo M. Colombo; Francesca Monti

doi:10.3934/cpaa.2010.9.47

Article Contents

2010, Volume 9, Issue 1: 47-60. Doi: 10.3934/cpaa.2010.9.47

This issue Previous Article Time transformations for state-dependent delay differential equations Next Article Infinite harmonic chain with heavy mass

Solutions with large total variation to nonconservative hyperbolic systems

Rinaldo M. Colombo^1, and
Francesca Monti^2,

1.
Dipartimento di Matematica, Via Branze, 38 – 25123 Brescia
2.
Dip. di Matematica e Applicazioni, Via Bicocca degli Arcimboldi 8, 20126 Milano

Received: December 2008

Revised: May 2009

Published online: October 2009

Abstract / Introduction Related Papers Cited by

Abstract

In this note we prove the existence of solutions for a class of first order non-linear hyperbolic systems. Given a possibly non conservative straight line system, we prove that all hyperbolic systems sufficiently near to the given one also admit global solutions. The total variation of the initial data is not assumed to be small. Stability estimates are also provided.

Keywords:

Mathematics Subject Classification: 35L45, 35L65.

Citation:

Article Metrics

HTML views() PDF downloads(81) Cited by(0)

Solutions with large total variation to nonconservative hyperbolic systems

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Solutions with large total variation to nonconservative hyperbolic systems

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content