The Cahn-Hilliard equation is a fundamental model that describes the phase separation
process in multi-component mixtures. It has been successfully extended to many different …

In this paper, we propose and analyze a positivity-preserving, energy stable numerical
scheme for a certain type of reaction-diffusion systems involving the Law of Mass Action with …

In this paper, we summarize some recent advances related to the energetic variational
approach (EnVarA), a general variational framework of building thermodynamically …

We consider a general class of bulk-surface convective Cahn–Hilliard systems with dynamic
boundary conditions. In contrast to classical Neumann boundary conditions, the dynamic …

We derive a novel thermodynamically consistent Navier–Stokes–Cahn–Hilliard system with
dynamic boundary conditions. This model describes the motion of viscous incompressible …

We investigate a new diffuse-interface model that describes creeping two-phase flows (ie,
flows exhibiting a low Reynolds number), especially flows that permeate a porous medium …

In this paper we construct and analyze a first-order time marching scheme for the Allen-
Cahn equation with the Allen-Cahn type dynamic boundary condition. To hold the mass …

Abstract The Cahn–Hilliard equation is one of the most common models to describe phase
segregation processes in binary mixtures. Various dynamic boundary conditions have …

Abstract The Cahn–Hilliard equation is one of the most common models to describe phase
separation processes in mixtures of two materials. For a better description of short-range …

We study the numerical algorithm and error analysis for the Cahn–Hilliard equation with
dynamic boundary conditions. A second-order in time, linear and energy stable scheme is …