4 N ov 2 00 9 Coupling Conditions for the 3 × 3 Euler System
نویسندگان
چکیده
Abstract This paper is devoted to the extension to the full 3× 3 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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