On the Hunter--Saxton system

Marcus Wunsch

doi:10.3934/dcdsb.2009.12.647

Article Contents

2009, Volume 12, Issue 3: 647-656. Doi: 10.3934/dcdsb.2009.12.647

This issue Previous Article Global existence and blow-up phenomena for a weakly dissipative Degasperis-Procesi equation Next Article Blow up and propagation speed of solutions to the DGH equation

On the Hunter--Saxton system

Marcus Wunsch^1,

1.
Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606-8502

Received: April 2009

Revised: May 2009

Published: May 2009

Abstract / Introduction Related Papers Cited by

Abstract

We show local existence of solutions to a two-component Hunter--Saxton system. Moreover, we prove that the slopes of solutions can become unbounded. Finally, if initial data satisfy appropriate smallness conditions, the associated flow is global.

Keywords:

Mathematics Subject Classification: Primary: 35B35, 35G25; Secondary: 35L67.

Citation:

Article Metrics

HTML views() PDF downloads(135) Cited by(0)

On the Hunter--Saxton system

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

On the Hunter--Saxton system

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content