A model describing the evolution of a binary mixture of compressible, viscous, and macroscopically immiscible fluids is investigated. The existence of global-in-time weak solutions for the resulting system coupling the compressible Navier-Stokes equations governing the motion of the mixture with the Allen-Cahn equation for the order parameter is proved without any restriction on the size of initial data.
Analysis of a phase-field model for two-phase compressible fluids
ROCCA, ELISABETTA;SCHIMPERNA, GIULIO FERNANDO
2010-01-01
Abstract
A model describing the evolution of a binary mixture of compressible, viscous, and macroscopically immiscible fluids is investigated. The existence of global-in-time weak solutions for the resulting system coupling the compressible Navier-Stokes equations governing the motion of the mixture with the Allen-Cahn equation for the order parameter is proved without any restriction on the size of initial data.File in questo prodotto:
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