Preprint 1996-033

Riemann Problems with a kink

Helge Holden and Nils Henrik Risebro

Abstract: We study the Riemann problem for isothermal flow of a gas in a thin pipe with a kink in it. This is modeled by a $2\times 2$ system of conservation laws with Dirac measure sink term concentrated at the location of the bends in the pipe. We show that the Riemann problem for this system of equations always has a unique solution, given an extra condition relating the speeds on both sides of the kink. Furthermore, we study the related problem where the flow is perturbed by an continuous addition of momentum at distinct points. Under certain conditions we show that also this Riemann problem has a unique solution.

Available as PostScript
Riemann Problems with a kink
Helge Holden, <>
Nils Henrik Risebro, <>
Submitted by:
<> September 15 1996.

[ 1996 Preprints | 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: Sun Sep 15 14:28:35 1996