ASYMPTOTIC ANALYSIS OF SECOND ORDER NONLOCAL CAHN-HILLIARD-TYPE FUNCTIONALS

作者:Dal Maso Gianni*; Fonseca Irene; Leoni Giovanni
来源:Transactions of the American Mathematical Society, 2018, 370(4): 2785-2823.
DOI:10.1090/tran/7151

摘要

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.

  • 出版日期2018-4