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Publication 16-CNA-024

Asymptotic Analysis of Second Order Nonlocal Cahn-Hilliard-Type Functionals

Gianni Dal Maso
SISSA, Trieste, Italy
dalmaso@sissa.it

Irene Fonseca
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213
fonseca@andrew.cmu.edu

Giovanni Leoni
Department of Mathematical Sciences
Carnegie Mellon University
Pittsburgh, PA 15213
giovanni@andrew.cmu.edu

Abstract: In this paper the study of a nonlocal second order Cahn-Hilliard-type singularly perturbed family of functions is undertaken. The kernels considered include those leading to Gagliardo fractional seminorms for gradients. Using $\Gamma$ convergence the integral representation of the limit energy is characterized leading to an anisotropic surface energy on interfaces separating different phases.

Get the paper in its entirety as  16-CNA-024.pdf


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