English

On a model of multiphase flow

Analysis of PDEs 2007-07-07 v2

Abstract

We consider a hyperbolic system of three conservation laws in one space variable. The system is a model for fluid flow allowing phase transitions; in this case the state variables are the specific volume, the velocity and the mass density fraction of the vapor in the fluid. For a class of initial data having large total variation we prove the global existence of solutions to the Cauchy problem.

Keywords

Cite

@article{arxiv.math/0605057,
  title  = {On a model of multiphase flow},
  author = {Debora Amadori and Andrea Corli},
  journal= {arXiv preprint arXiv:math/0605057},
  year   = {2007}
}

Comments

32 pages. Revised and corrected version