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Preprint 2015-025

Isentropic fluid dynamics in a curved pipe

Rinaldo M. Colombo and Helge Holden

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].

Reference
[1] D. Amadori, L. Gosse, and G. Guerra. Global BV entropy solutions and uniqueness for hyperbolic systems of balance laws. Arch. Ration. Mech. Anal., 162(4), 327–366, 2002. [MR1904499]
Paper:
Available as PDF (395 Kbytes).
Author(s):
Rinaldo M. Colombo
Helge Holden
Submitted by:
; 2015-11-03.