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In this talk, we present recent developments of Cahn-Hilliard systems for an arbitrary number of components. The models are derived using the consistency principle: we require that the n-phase model exactly coincide with the well-known two-phase model when only two phases are present in the system. We give properties of such models in some cases and propose numerical illustrations. We also present simulations of multiphase flows based on the coupling of the n-phase Cahn-Hilliard model with the Navier-Stokes equation. This is a joint work with F. Boyer. |
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