On a model of multiphase flow

Details On a model of multiphase flow On a model of multiphase flow

2006-05-02

arxiv.org/abs/math/0605057v2

Mathematics

Analysis of PDEs

32 pages. Revised and corrected version

Scientific paper

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.

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