Well-Posedness and Global Attractors for Viscous Fractional Cahn–Hilliard Equations with Memory

We examine a viscous Cahn–Hilliard phase-separation model with memory and where the chemical potential possesses a nonlocal fractional Laplacian operator. The existence of global weak solutions is proven using a Galerkin approximation scheme. A continuous dependence estimate provides uniqueness of t...

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Bibliographic Details

Published in:	Fractal and Fractional
Main Authors:	Eylem Öztürk, Joseph L. Shomberg
Format:	Article
Language:	English
Published:	MDPI AG 2022-09-01
Subjects:	Cahn–Hilliard equation fractional Laplacian memory
Online Access:	https://www.mdpi.com/2504-3110/6/9/505