A Well Posed Riemann Problem for the p--System at a Junction

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September 2006, 1(3): 495-511. doi: 10.3934/nhm.2006.1.495

A Well Posed Riemann Problem for the $p$--System at a Junction

Rinaldo M. Colombo ^1, and Mauro Garavello ^2,

1.	Department of Mathematics, University of Brescia, Via Branze, 38, 25133 Brescia, Italy
2.	Department of Mathematics and Applications, University of Milano-Bicocca, Via R. Cozzi, 53, 20125 Milano, Italy

Received March 2006 Revised May 2006 Published July 2006

Abstract
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This work is devoted to the solution to Riemann Problems for the $p$-system at a junction, the main goal being the extension to the case of an ideal junction of the classical results that hold in the standard case.

Keywords: compressible fluids at junctions., Riemann problem, gas, $p$-system.

Mathematics Subject Classification: 35L65, 76N1.

Citation: Rinaldo M. Colombo, Mauro Garavello. A Well Posed Riemann Problem for the $p$--System at a Junction. Networks & Heterogeneous Media, 2006, 1 (3) : 495-511. doi: 10.3934/nhm.2006.1.495

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