This paper is devoted to the extension to the full 3x3 Euler system of the basic analytical properties of the equations governing a uid owing in a duct with varying section. First, we consider the Cauchy problem for a pipeline consisting of 2 ducts joined at a junction. Then, this result is extended to more complex pipes. A key assumption in these theorems is the boundedness of the total variation of the pipe's section. We provide explicit examples to show that this bound is necessary.

Colombo, R., Marcellini, F. (2010). Coupling Conditions for the 3x3 Euler System. NETWORKS AND HETEROGENEOUS MEDIA, 5(4), 675-690 [10.3934/nhm.2010.5.675].

Coupling Conditions for the 3x3 Euler System

MARCELLINI, FRANCESCA
2010

Abstract

This paper is devoted to the extension to the full 3x3 Euler system of the basic analytical properties of the equations governing a uid owing in a duct with varying section. First, we consider the Cauchy problem for a pipeline consisting of 2 ducts joined at a junction. Then, this result is extended to more complex pipes. A key assumption in these theorems is the boundedness of the total variation of the pipe's section. We provide explicit examples to show that this bound is necessary.
Articolo in rivista - Articolo scientifico
continuum traffic models, 2-phase traffic models, second order traffic models
English
2010
5
4
675
690
reserved
Colombo, R., Marcellini, F. (2010). Coupling Conditions for the 3x3 Euler System. NETWORKS AND HETEROGENEOUS MEDIA, 5(4), 675-690 [10.3934/nhm.2010.5.675].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/47513
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