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On a model of multiphase flow

Debora Amadori·Andrea Corli
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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.

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Debora Amadori, Andrea Corli. 2007-07-07. On a model of multiphase flow. https://arxiv.org/abs/math/0605057

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