Special Session 14: 

Finite-Volume approximation of a two-phase two-fluxes degenerate Cahn-Hilliard model

Flore Nabet
Ecole polytechnique
France
Co-Author(s):    Cl\`ement Canc\`es, Daniel Matthes
Abstract:
We propose a convergent finite-volume discretization for a degenerate Cahn-Hilliard model which is a non-local version of the Cahn-Hilliard dynamics for phase separation in a two-component incompressible and immiscible mixture with linear mobilities. In difference to the celebrated local model with nonlinear mobility, it is only assumed that the divergences of the two fluxes -- but not necessarily the fluxes themselves -- annihilate each other.