Inserted: 17 feb 2011
Last Updated: 2 jun 2012
Journal: J. Differential Equations
This paper studies the asymptotic behavior of a perturbed variational prob- lem for the Cahn-Hilliard theory of phase transitions in a fluid, with spatial inhomogeneities in the internal free energy term. The inhomogeneous term can vanish or become infinite and it can also behave as an appropriate power of the distance from the boundary. The standard minimal interface criterion will be recovered even in spite of such severe degeneracies andor singularities.
Keywords: phase transitions, G-convergence, singular perturbation, Spatial inhomogeneity