We consider n tubes exiting a junction and filled with a nonviscous 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.
Colombo, R., Garavello, M. (2009). Comparison among different notions of solution for the $p$-system at a junction. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS(S), 181-190.
Comparison among different notions of solution for the $p$-system at a junction
GARAVELLO, MAURO
2009
Abstract
We consider n tubes exiting a junction and filled with a nonviscous 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.
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