Asymptotic analysis of second order nonlocal Cahn-Hilliard-type functionals
Gianni Dal Maso, Irene Fonseca, Giovanni Leoni · Transactions of the American Mathematical Society · 2017
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 Γ \Gamma convergence the integral representation of the limit energy is characterized leading to an anisotropic surface energy on interfaces separating different phases.