Abstract
In this paper we consider the Cahn-Hilliard mathematical continuum model of spinodal decomposition (or phase separation) of a binary alloy. The phenomenological model is derived in section one. The existence theory for the Cahn-Hilliard equation is reviewed in section two. Various aspects and generalizations are surveyed in section three. A finite element approximation is studied in section four and, in particular, two fully discrete schemes are shown to possess Lyapunov functionals. Finally in section five some numerical simulations are described.
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Elliott, C.M. (1989). The Cahn-Hilliard Model for the Kinetics of Phase Separation. In: Rodrigues, J.F. (eds) Mathematical Models for Phase Change Problems. International Series of Numerical Mathematics, vol 88. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9148-6_3
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DOI: https://doi.org/10.1007/978-3-0348-9148-6_3
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