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.
Asymptotic analysis of second order nonlocal Cahn-Hilliard-type functionals / Dal Maso, Gianni; Fonseca, I; Leoni, G.. - In: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9947. - 370:4(2018), pp. 2785-2823. [10.1090/tran/7151]
Asymptotic analysis of second order nonlocal Cahn-Hilliard-type functionals
Dal Maso, Gianni
;
2018-01-01
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.| File | Dimensione | Formato | |
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