Abstract

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.

Author information

Contact details are reproduced from the original publication and may be historical.

Margherita Solci

Dip. di Architettura e Pianificazione, Università di Sassari, Piazza Duomo, 07041 Alghero, Italy

margherita@uniss.it

Keywords

  • Phase separation
  • boundary layer
  • variational convergence
  • energy minimization

Mathematics Subject Classification

49J45 47J30 74G65; 74N99

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Suggested citation

M. Solci. “Boundary Contact Energies for a Variational Model in Phase Separation.” Journal of Convex Analysis 13 (2006), No. 1, 1–26. https://doi.org/10.68381/jca13001

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Published by Heldermann Verlag, 2006. Rights now held by Banach Press LLC.