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}} …

We consider the so-called Cahn–Hilliard–Oono equation with singular (eg logarithmic)
potential in a bounded domain of ℝ d, d≤ 3. The equation is subject to an initial condition …

We consider the nonlocal Cahn-Hilliard equation with singular (logarithmic) potential and
constant mobility in three-dimensional bounded domains and we establish the validity of the …

We study the separation property for Cahn-Hilliard type equations with constant mobility and
(physically relevant) singular potentials in two dimensions. That is, any solution with initial …

In this paper, we provide a detailed convergence analysis for a first order stabilized linear
semi-implicit numerical scheme for the nonlocal Cahn–Hilliard equation, which follows from …

Abstract The Cahn–Hilliard–Hele–Shaw system is a fundamental diffuse-interface model for
an incompressible binary fluid confined in a Hele–Shaw cell. It consists of a convective …

In this paper, we provide a detailed convergence analysis for fully discrete second‐order (in
both time and space) numerical schemes for nonlocal Allen‐Cahn and nonlocal Cahn …

This paper investigates the separation property in binary phase-segregation processes
modelled by Cahn-Hilliard type equations with constant mobility, singular entropy densities …

We study a diffuse interface model that describes the dynamics of incompressible two-phase
flows with chemotaxis effects. This model also takes into account some significant …