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Global existence of solutions for a multi-phase flow: A drop in a gas-tube

Department of Engineering and Computer Science and Mathematics, University of L’Aquila, Via Vetoio 1, 67010 Coppito (AQ), Italy

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Paolo Baiti

Department of Mathematics, Computer Science and Physics, University of Udine, Via delle Scienze 206, 33100 Udine, Italy

E-mail Address: [email protected]

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Andrea Corli

Department of Mathematics and Computer Science, University of Ferrara, Via Machiavelli 30, 44121 Ferrara, Italy

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Edda Dal Santo

Department of Mathematics, Computer Science and Physics, University of Udine, Via delle Scienze 206, 33100 Udine, Italy

E-mail Address: [email protected]

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https://doi.org/10.1142/S0219891616500120Cited by:0 (Source: Crossref)

Abstract

In this paper we study the flow of an inviscid fluid composed by three different phases. The model is a simple hyperbolic system of three conservation laws, in Lagrangian coordinates, where the phase interfaces are stationary. Our main result concerns the global existence of weak entropic solutions to the initial-value problem for large initial data.

Communicated by P. G. LeFloch

Keywords:

AMSC: 35L65, 35L60, 35L67, 76T99

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