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
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The purpose of this work is to prove the existence and uniqueness of the solution for a Cahn-
Hilliard/Allen-Cahn system with singular potentials (and, in particular, the thermodynamically …

We study a phase-field model for lithium-ion batteries of olivine LiFePO 4. During
electrochemical cycling the fundamental behavior of the crystal is the diffusion of Li which …

In this paper, our aim is to deal with a distributed optimal control problem for Allen–
Cahn/Cahn–Hilliard system with temperature. We firstly establish the existence of a weak …

Our aim is to consider a distributed optimal control problem for a coupled phase-field system
which was introduced by Cahn and Novick-Cohen. First, we establish that the existence of a …

The main goal of this paper is to study the asymptotic behavior of a coupled Cahn-
Hilliard/Allen-Cahn system with temperature. The work is divided into two parts: In the rst …

We analyze here a finite element space semidiscretization of the Allen-Cahn/Cahn-Hilliard
system coupled with heat equation and based on the Maxwell-Cattaneo law. We prove that …

In this paper, we study the Cauchy problem of a coupled Cahn-Hilliard system. First, we
construct the local classical solution, then by some a priori estimates, we extend the local …

Our aim in this article is to study the asymptotic behavior of a Cahn–Hilliard/Allen–Cahn
system coupled with a heat equation based on the type III heat conduction law with singular …