# American Institute of Mathematical Sciences

2009, 2009(Special): 181-190. doi: 10.3934/proc.2009.2009.181

## Comparison among different notions of solution for the $p$-system at a junction

 1 Dipartimento di Matematica, Via Branze, 38 – 25123 Brescia, Italy 2 Dipartimento di Scienze e Tecnologie Avanzate, Università del Piemonte Orientale “A. Avogadro”, Via Bellini 25/G, 15100 Alessandria

Received  July 2008 Revised  March 2009 Published  September 2009

We consider $n$ tubes exiting a junction and filled with a non viscous isentropic or isothermal fluid. In each tube a copy of the $p$-system in Euler coordinates is considered. The aim of the presentation is to compare three different notions of solutions at the junctions: p-solutions, Q-solutions and P-solutions.
Citation: Rinaldo M. Colombo, Mauro Garavello. Comparison among different notions of solution for the $p$-system at a junction. Conference Publications, 2009, 2009 (Special) : 181-190. doi: 10.3934/proc.2009.2009.181
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