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 …

This review focuses on the role of physical theory and computational electrochemistry for
fundamental understanding, diagnostics and design of new electrochemical materials and …

In this paper, we review the recent development of phase-field models and their numerical
methods for multi-component fluid flows with interfacial phenomena. The models consist of a …

The design of shell-infill structures has been a focal point in the topology optimization
community due to their advantages in energy absorption characteristics, strength-to weight …

We introduce provably unconditionally stable mixed variational methods for phase-field
models. Our formulation is based on a mixed finite element method for space discretization …

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 …

We review physical, mathematical, and numerical derivations of the binary Cahn–Hilliard
equation (after John W. Cahn and John E. Hilliard). The phase separation is described by …

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}} …

The exp‐function method is presented for finding the exact solutions of nonlinear fractional
equations. New solutions are constructed in fractional complex transform to convert …

This paper presents analytical‐approximate solutions of the time‐fractional Cahn‐Hilliard
(TFCH) equations of fourth and sixth order using the new iterative method (NIM) and q …