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Isentropic fluid dynamics in a curved pipe

Colombo, Rinaldo M; Holden, Helge
Journal article, Peer reviewed
Accepted version
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1511.01397v1.pdf (373.9Kb)
URI
http://hdl.handle.net/11250/2465171
Date
2016
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  • Institutt for matematiske fag [2686]
  • Publikasjoner fra CRIStin - NTNU [41957]
Original version
10.1007/s00033-016-0725-0
Abstract
In this paper we study isentropic flow in a curved pipe. We focus on the consequences of the geometry of the pipe on the dynamics of the flow. More precisely, we present the solution of the general Cauchy problem for isentropic fluid flow in an arbitrarily curved, piecewise smooth pipe. We consider initial data in the subsonic regime, with small total variation about a stationary solution. The proof relies on the front-tracking method and is based on [1].
Publisher
Springer Verlag
Journal
Zeitschrift für Angewandte Mathematik und Physik

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