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 …

Phase separation is a ubiquitous and emerging mechanism underlying intracellular
organization. Yet how distinct molecular compositions in phase-separated condensates are …

In this paper we present and analyze finite difference numerical schemes for the Cahn-
Hilliard equation with a logarithmic Flory Huggins energy potential. Both first and second …

In this paper we propose and analyze an energy stable numerical scheme for the Cahn–
Hilliard equation, with second order accuracy in time and the fourth order finite difference …

We present an unconditionally energy stable finite difference scheme for the Modified Phase
Field Crystal equation, a generalized damped wave equation for which the usual Phase …

In this paper we present a second order accurate (in time) energy stable numerical scheme
for the Cahn-Hilliard (CH) equation, with a mixed finite element approximation in space …

We propose a novel second order in time numerical scheme for Cahn–Hilliard–Navier–
Stokes phase field model with matched density. The scheme is based on second order …

In this paper, we present a novel second order in time mixed finite element scheme for the
Cahn–Hilliard–Navier–Stokes equations with matched densities. The scheme combines a …

In this paper, we construct and analyze a uniquely solvable, positivity preserving and
unconditionally energy stable finite-difference scheme for the periodic three-component …

In this paper we propose and analyze a finite difference numerical scheme for the Poisson-
Nernst-Planck equation (PNP) system. To understand the energy structure of the PNP …