The Cahn-Hilliard equation is a fundamental model that describes the phase separation
process in multi-component mixtures. It has been successfully extended to many different …

Our aim in this article is to discuss recent issues related with the Cahn-Hilliard equation in
phase separation with the thermodynamically relevant logarithmic potentials; in particular …

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 in this article a Cahn–Hilliard model in a bounded domain with non-permeable
walls, characterized by dynamic-type boundary conditions. Dynamic boundary conditions for …

We consider a diffuse interface model for the evolution of an isothermal incompressible two-
phase flow in a two-dimensional bounded domain. The model consists of the Navier-Stokes …

Our aim in this paper is to study the Cahn-Hilliard equation with singular potentials and
dynamic boundary conditions. In particular, we prove, owing to proper approximations of the …

We consider a model of nonisothermal phase transitions taking place in a bounded spatial
region. The order parameter ψ is governed by an Allen-Cahn type equation which is …

Chinese Annals of Mathematics, Series B Long Time Behavior of the Cahn-Hilliard Equation
with Irregular Potentials and Dynamic B Page 1 Chin. Ann. Math. 31B(5), 2010, 679–712 DOI …

This paper deals with the null controllability of the semilinear heat equation with dynamic
boundary conditions of surface diffusion type, with nonlinearities involving drift terms. First …

SOME MATHEMATICAL MODELS IN PHASE TRANSITION Alain Miranville Contents 1.
Introduction 271 2. Derivation of the Caginalp model 2 Page 1 DISCRETE AND …