Boundary Contact Energies for a Variational Model in Phase Separation
Journal of convex analysis, Tome 13 (2006) no. 1, pp. 1-26
Cet article a éte moissonné depuis la source Heldermann Verlag
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.
Classification :
49J45 47J30 74G65, 74N99
Mots-clés : Phase separation, boundary layer, variational convergence, energy minimization
Mots-clés : Phase separation, boundary layer, variational convergence, energy minimization
@article{JCA_2006_13_1_JCA_2006_13_1_a0,
author = {M. Solci},
title = {Boundary {Contact} {Energies} for a {Variational} {Model} in {Phase} {Separation}},
journal = {Journal of convex analysis},
pages = {1--26},
year = {2006},
volume = {13},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JCA_2006_13_1_JCA_2006_13_1_a0/}
}
M. Solci. Boundary Contact Energies for a Variational Model in Phase Separation. Journal of convex analysis, Tome 13 (2006) no. 1, pp. 1-26. http://geodesic.mathdoc.fr/item/JCA_2006_13_1_JCA_2006_13_1_a0/