Phase Field Formulation for Microstructure Evolution in Oxide Ceramics
Leslie Button, Corning, Inc.
Corning Workshop Documents
This problem in fact contains two problems: The simpler problem concerns how one should treat the interface boundary value problem for a model that has an obstacle potential (infinite barrier) in the phase field variables . The main event concerns how to generate numerically (or otherwise) tractable equations to deal with a mixture of solutions and near-stoichiometric phases. There is a mixture of physical issues and numerical/mathematical ones involved.
 Blowey & Elliott, The Cahn-Hilliard gradient theory for phase separation with non-smooth free energy, Part I: Mathematical analysis, Euro J Applied Math 2 (1991) 233-279.
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