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}} …

Our aim in this paper is to prove the existence and uniqueness of solutions to Cahn-Hilliard
and Allen-Cahn type equations based on a modification of the Ginzburg-Landau free energy …

ON HIGHER-ORDER ANISOTROPIC CAGINALP PHASE-FIELD SYSTEMS WITH POLYNOMIAL
NONLINEAR TERMS 1. Introduction Page 1 Journal of Applied Analysis and Computation …

ON A SIXTH-ORDER CAHN-HILLIARD SYSTEM WITH TEMPERATURE Page 1 Far East
Journal of Dynamical Systems © 2024 Pushpa Publishing House, Prayagraj, India https://pphmjopenaccess.com …

In this paper, the well posedness of a sixth-order phase-field equation with degenerate
phase-dependent diffusion mobility in three-dimensional space is studied. We first define a …

In this paper, we study the weak solutions of a sixth-order phase-field equation with
degenerate phase-dependent diffusion mobility in 2D case. The main features and …

We consider the viscous Allen-Cahn and Cahn-Hilliard models with an additional term
called the nonlinear Willmore regularization. First, we are interested in the well-posedness …

Our aim in this paper is to study, in term of finite dimensional exponential attractors, the
Willmore regularization,(depending on a small regularization parameter β> 0), of two phase …

The main purpose of this paper is to study the Cauchy problem of sixth order viscous Cahn–
Hilliard equation with Willmore regularization. Because of the existence of the nonlinear …