The present work discusses the Riemann problem for the p-system at a junction. Two different approaches are presented. The former is shown not to allow a well posed framework for the Cauchy problem. The latter is shown to be a good candidate to become the basic building block for the modeling of isentropic fluid flows in elbows, junctions and networks.
Colombo, R., Garavello, M. (2007). On the p-System at a junction. In Control methods in pde-dynamical systems (pp.193-217). ASM.
On the p-System at a junction
GARAVELLO, MAURO
2007
Abstract
The present work discusses the Riemann problem for the p-system at a junction. Two different approaches are presented. The former is shown not to allow a well posed framework for the Cauchy problem. The latter is shown to be a good candidate to become the basic building block for the modeling of isentropic fluid flows in elbows, junctions and networks.
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