English

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

Analysis of PDEs 2015-09-10 v1

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.

Keywords

Cite

@article{arxiv.1509.02771,
  title  = {Global existence of solutions for a multi-phase flow: a drop in a gas-tube},
  author = {Debora Amadori and Paolo Baiti and Andrea Corli and Edda Dal Santo},
  journal= {arXiv preprint arXiv:1509.02771},
  year   = {2015}
}