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 book treats the theory of attractors for non-autonomous dynamical systems. The aim of
the book is to give a coherent account of the current state of the theory, using the framework …

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
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In this paper, we consider numerical approximations for the viscous Cahn–Hilliard equation
with hyperbolic relaxation. This type of equations processes energy-dissipative structure …

In this paper, we investigate optimal boundary control problems for Cahn--Hilliard variational
inequalities with a dynamic boundary condition involving double obstacle potentials and the …

Stabilization techniques are frequently used to construct efficient and stable schemes for stiff
and nonlinear systems. However, the introduced errors may lead to severe delay effects …

We consider the numerical approximations of the viscous Cahn–Hilliard equation with either
the Ginzburg–Landau polynomial potential or Flory–Huggins logarithmic potential. One …

In this paper we study the abstract semilinear parabolic problem of the form du/dt+ Au= ƒ (u),
as the limit of the corresponding fractional approximations du/dt+ A< sup> α u= ƒ (u), in a …

This paper is concerned with the viscous Cahn–Hilliard equation, which arises in the
dynamics of viscous first order phase transitions in cooling binary solutions. The optimal …