We consider a scalar partial differential equation of hyperbolic type in conservation form on a network composed by n incoming and m outgoing arcs, connected together at a node. We deal with the Riemann problem at the node and we present various Riemann solvers, introduced in the literature, satisfying some general properties, which ensure existence of a solution to a Cauchy problem.

Garavello, M., Piccoli, B. (2009). Riemann solvers for conservation laws at a node. In Hyperbolic problems: theory, numerics and applications, part 2 (pp.595-604). AMS.

Riemann solvers for conservation laws at a node

GARAVELLO, MAURO;
2009

Abstract

We consider a scalar partial differential equation of hyperbolic type in conservation form on a network composed by n incoming and m outgoing arcs, connected together at a node. We deal with the Riemann problem at the node and we present various Riemann solvers, introduced in the literature, satisfying some general properties, which ensure existence of a solution to a Cauchy problem.
slide + paper
Conservation laws; Riemann solvers; nodes
English
12th International Conference on Hyperbolic Problems
Hyperbolic problems: theory, numerics and applications, part 2
978-0-8218-4730-5
2009
67
Part 2
595
604
none
Garavello, M., Piccoli, B. (2009). Riemann solvers for conservation laws at a node. In Hyperbolic problems: theory, numerics and applications, part 2 (pp.595-604). AMS.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/37056
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