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 …

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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Optimal Control for the Convective Cahn–Hilliard Equation in 2D Case | SpringerLink Skip to
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This article studies the problem for optimal control of the convective Cahn–Hilliard equation
in one-space dimension. The optimal control under boundary condition is given, the …

Lattice Boltzmann methods provide a robust and highly scalable numerical technique in
modern computational fluid dynamics. Besides the discretization procedure, the relaxation …

We prove the global well-posedness of the so-called hyperbolic relaxation of the Cahn–
Hilliard–Oono equation in the whole space ℝ 3 with the nonlinearity of the sub-quintic …

In this paper, we continue the study of the hyperbolic relaxation of the Cahn–Hilliard–Oono
equation with the sub‐quintic non‐linearity in the whole space started in our previous paper …

This article is concerned with a fourth-order parabolic equation. Based on the regularity
estimates for the semigroups and the classical existence theorem of global attractors, we …

In this work, four finite volume methods have been constructed to solve the 2D convective
Cahn–Hilliard equation with specified initial condition and periodic boundary conditions. We …