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Global weak solutions for a model of two-phase flow with a single interface

Abstract : We consider a simple nonlinear hyperbolic system modeling the flow of an inviscid fluid. The model includes as state variable the mass density fraction of the vapor in the fluid and then phase transitions can be taken into consideration; moreover, phase interfaces are contact discontinuities for the system. We focus on the special case of initial data consisting of two different phases separated by an interface. We find explicit bounds on the (possibly large) initial data in order that weak entropic solutions exist for all times. The proof exploits a carefully tailored version of the front tracking scheme.
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https://hal.inria.fr/hal-01058113
Contributor : Debora Amadori <>
Submitted on : Tuesday, August 26, 2014 - 10:36:30 AM
Last modification on : Monday, October 19, 2020 - 8:26:03 PM
Long-term archiving on: : Thursday, November 27, 2014 - 3:36:30 PM

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  • HAL Id : hal-01058113, version 1
  • ARXIV : 1408.6209

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Debora Amadori, Paolo Baiti, Andrea Corli, Edda Dal Santo. Global weak solutions for a model of two-phase flow with a single interface. 2014. ⟨hal-01058113⟩

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