Coupling conditions for the 3x3 Euler system

Details Coupling conditions for the 3x3 Euler system Coupling conditions for the 3x3 Euler system

2009-11-04

arxiv.org/abs/0911.0825v1

Mathematics

Analysis of PDEs

21 pages, 6 figures

Scientific paper

This paper is devoted to the extension to the full $3\times3$ Euler system of the basic analytical properties of the equations governing a fluid flowing 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.

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