2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/133043We 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.32 pages. Revised and corrected versionAnalysis of PDEs35L65; 35L60; 35L67; 76T30On a model of multiphase flowtext