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.
| File | Dimensione | Formato | |
|---|---|---|---|
|
ColomboMarcellini2.pdf
Solo gestori archivio
Dimensione
477.05 kB
Formato
Adobe PDF
|
477.05 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
