This book discusses classical results, as well as recent developments, related to the Cahn–
Hilliard equation. It is based on the lectures that I gave at the CBMS-NSF Conference on the …

The Cahn–Hilliard equation and some of its variants Home 8.{{subColumn.name}} AIMS
Mathematics Search Advanced Home {{newsColumn.name}} 1.{{subColumn.name}} {{newsColumn.name}} …

With the increasing popularity of digital images, develo** advanced algorithms that can
accurately reconstruct damaged images while maintaining high visual quality is crucial …

In this paper, we propose a novel model for image segmentation by using the Cahn–Hilliard
equation. An interesting feature of this model lies in its ability of interpolating missing …

We investigate the long-time behaviour of strong solutions to a generalised Cahn–Hilliard
equation with singular logarithmic potentials and a solution-dependent mass source term …

This paper focuses on the complex version of the Cahn-Hilliard-Oono equation with
Neumann boundary conditions, which is used to capture long-range nonlocal interactions in …

This paper proposes a Cahn-Hilliard type inpainting model equipped with a nonlocal
diffusion operator. A rigorous analysis of the well-posedness of the stationary solution is …

This paper addresses the approximation of surface diffusion flow using Cahn–Hilliard-type
models. We introduce and analyze a new variational phase field model that associates the …

The inpainting of damaged images has a wide range of applications, and many different
mathematical methods have been proposed to solve this problem. Inpainting with the help of …

We assess the benefit of including an image inpainting filter before passing damaged
images into a classification neural network. We employ an appropriately modified Cahn …