Asymptotic analysis of second order nonlocal Cahn-Hilliard-type functionals
نویسندگان
چکیده
منابع مشابه
Asymptotic Analysis of Second Order Nonlocal Cahn-Hilliard-Type Functionals
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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A convective Cahn-Hilliard type equation of sixth order that describes the faceting of a growing surface is considered with periodic boundary conditions. By using a Galerkin approach the existence of weak solutions to this sixth order partial differential equation is established in L2(0, T ; Ḣ3 per). Furthermore stronger regularity results have been derived and these are used to prove uniquenes...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 2017
ISSN: 0002-9947,1088-6850
DOI: 10.1090/tran/7151