Journal of Convex Analysis 13 (2006), No. 1, 001--026
Copyright Heldermann Verlag 2006
Boundary Contact Energies for a Variational Model in Phase Separation
Dip. di Architettura e Pianificazione, UniversitÓ di Sassari, Piazza Duomo, 07041 Alghero, Italy
The paper concerns the asymptotic behaviour of a family of energy functionals related to the Cahn-Hilliard theory for phase separation. Suitable boundary conditions are considered, modelling the presence of boundary layers; in the variational limit, together with the surface energy corresponding to the interior transition between the phases, an additional term appears, measuring the energy of the boundary layer.
Keywords: Phase separation, boundary layer, variational convergence, energy minimization.
MSC: 49J45 47J30 74G65; 74N99
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