Large BV solutions to Euler equations in the isothermal self-gravitating gases with damping

Yulan Xu; Yanping Dou

doi:10.3934/cpaa.2009.8.1451

Article Contents

2009, Volume 8, Issue 4: 1451-1467. Doi: 10.3934/cpaa.2009.8.1451

This issue Previous Article Uniqueness of 2-D compressible vortex sheets Next Article

Large BV solutions to Euler equations in the isothermal self-gravitating gases with damping

Yulan Xu^1, and
Yanping Dou^1,

1.
Department of Mathematics, Shanghai University, Shanghai, 200444

Received: February 29, 2008

Revised: December 31, 2008

Published: June 2009

Abstract Related Papers Cited by

Abstract

The present paper gives the global existence of $BV$ solutions to the radial motions of self-gravitating gases with damping. We construct approximate solutions by a modified Glimm scheme, considering the effects of the geometric source term, the integrand term, and the damping term at the same time. With the strength of the waves measured by $|\Delta(w-z)|$, where $(w,z)$ are the Riemann invariants to the corresponding Euler equations, we prove that the $BV$ norms of the approximate solutions are bounded.

Keywords:

Mathematics Subject Classification: Primary: 35L65, 76N10; Secondary: 65M12.

Citation:

Article Metrics

HTML views() PDF downloads(72) Cited by(0)

Large BV solutions to Euler equations in the isothermal self-gravitating gases with damping

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Large BV solutions to Euler equations in the isothermal self-gravitating gases with damping

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content