Preprint 2003-008

The Riemann Problem for a Class of Resonant Hyperbolic Systems of Balance Laws

Paola Goatin and Philippe LeFloch

Abstract: We solve the Riemann problem for a class of resonant hyperbolic systems of balance laws. The systems are not strictly hyperbolic and the solutions take their values in a neighborhood of a state where two characteristic speeds coincide. Our construction generalizes the ones given earlier by Isaacson and Temple for scalar equations and for conservative systems. The class of systems under consideration here includes, in particular, a model from continuum physics that describes the evolution of a fluid flow in a nozzle with discontinuous cross-section.

Available as PostScript (472 Kbytes) or gzipped PostScript (184 Kbytes; uncompress using gunzip).
Paola Goatin, <>
Philippe LeFloch, <>
Publishing information:
Submitted by:
<> January 27 2003.

[ 1996 | 1997 | 1998 | 1999 | 2000 | 2001 | 2002 | 2003 | All Preprints | Preprint Server Homepage ]
© The copyright for the following documents lies with the authors. Copies of these documents made by electronic or mechanical means including information storage and retrieval systems, may only be employed for personal use.

Conservation Laws Preprint Server <>
Last modified: Wed Jan 29 09:53:59 MET 2003