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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

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