Asymptotic Analysis of Second Order Nonlocal Cahn-Hilliard-Type Functionals
نویسندگان
چکیده
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 convergence the integral representation of the limit energy is characterized leading to an anisotropic surface energy on interfaces separating different phases.
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Article history: Received 10 May 2013 Received in revised form 18 July 2014 Accepted 2 August 2014 Available online 8 August 2014
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