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

Pages: 181 - 190, Issue Special, September 2009

 Abstract        Full Text (253.3K)              

Rinaldo M. Colombo - Dipartimento di Matematica, Via Branze, 38 – 25123 Brescia, Italy (email)
Mauro Garavello - Dipartimento di Scienze e Tecnologie Avanzate, Università del Piemonte Orientale “A. Avogadro”, Via Bellini 25/G, 15100 Alessandria, Italy (email)

Abstract: 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.

Keywords:  $p$-System, Hyperbolic Systems of Conservation Laws, Riemann Problem, Compressible Fluids, Gas Dynamics
Mathematics Subject Classification:  Primary: 35L65; Secondary: 76N10

Received: July 2008;      Revised: March 2009;      Published: September 2009.