Isentropic fluid dynamics in a curved pipe

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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].

Keywords

Isentropic fluid dynamics Curved pipe 

Mathematics Subject Classification

Primary: 35L65 Secondary: 45L67 76N15 
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Copyright information

© Springer International Publishing 2016

Authors and Affiliations

  1. 1.INDAM UnitUniversity of BresciaBresciaItaly
  2. 2.Department of Mathematical SciencesNorwegian University of Science and TechnologyTrondheimNorway

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