Global existence of solutions for a multi-phase flow: A drop in a gas-tube-Reference-Cited by-同舟云学术

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

Published:2016-06 Issue:02 Volume:13 Page:381-415
ISSN:0219-8916
Container-title:Journal of Hyperbolic Differential Equations
language:en
Short-container-title:J. Hyper. Differential Equations

Author:

Amadori Debora¹,Baiti Paolo²,Corli Andrea³,Santo Edda Dal²

Affiliation:

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

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

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

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219891616500120

Reference18 articles.

1. Global weak solutions for a model of two-phase flow with a single interface

2. Global existence of solutions for a multi-phase flow: A bubble in a liquid tube and related cases

3. A Hyperbolic Model of Multiphase Flow

4. On a Model of Multiphase Flow

5. Global existence of BV solutions and relaxation limit for a model of multiphase reactive flow

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