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

Rinaldo M. Colombo; Mauro Garavello

doi:10.3934/nhm.2006.1.495

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2006, Volume 1, Issue 3: 495-511. Doi: 10.3934/nhm.2006.1.495

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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
2.
Department of Mathematics and Applications, University of Milano-Bicocca, Via R. Cozzi, 53, 20125 Milano

Received: March 2006

Revised: May 2006

Published: September 2006

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Abstract

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.

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Mathematics Subject Classification: 35L65, 76N10.

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