A Cahn-Hilliard-Navier-Stokes system for two-phase flow on an evolving surface with non-
matched densities is derived using methods from rational thermodynamics. For a Cahn …

Abstract We study the Cahn-Hilliard equation with non-degenerate concentration-dependent
mobility and logarithmic potential in two dimensions. We show that any weak solution is …

The main goal of this paper is to establish the nonlocal-to-local convergence of strong
solutions to a Navier–Stokes–Cahn–Hilliard model with singular potential describing …

We consider a class of bulk-surface coupled Cahn-Hilliard systems in a smooth, bounded
domain $\Omega\subset\mathbb {R}^{d} $$(d\in\{2, 3\}) $, where the trace value of the bulk …

We study the existence of weak solutions and the corresponding sharp interface limit of an
anisotropic Cahn-Hilliard equation with disparate mobility, ie, the mobility is degenerate in …

We consider a class of Cahn-Hilliard equation that characterizes phase separation
phenomena of binary mixtures in a bounded domain $\Omega\subset\mathbb {R}^ d …

In this contribution, we study an optimal control problem for the celebrated nonlocal Cahn-
Hilliard equation endowed with the singular Flory-Huggins potential in the three …

We study a Cahn–Hilliard–Darcy system with mass sources, which can be considered as a
basic, though simplified, diffuse interface model for the evolution of tumor growth. This …

We consider a class of nonlocal Cahn-Hilliard equations in a bounded domain
$\Omega\subset\mathbb {R}^{d} $$(d\in\{2, 3\}) $, subject to a nonlocal kinetic rate …

This work presents a numerical analysis of [19] and some additional physical experiments.
We develop a first-order semi-implicit finite-difference method with convex-concave splitting …