Comparison among different notions of solution for the $p$-system at a junction
Rinaldo M. Colombo - Dipartimento di Matematica, Via Branze, 38 – 25123 Brescia, 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
Received: July 2008; Revised: March 2009; Published: September 2009.