We investigate the nonlocal version of the Abels-Garcke-Grün (AGG) system, which
describes the motion of a mixture of two viscous incompressible fluids. This consists of the …

We study an initial-boundary value problem for the incompressible Navier–Stokes–Cahn–
Hilliard system with non-constant density proposed by Abels, Garcke and Grün in 2012. This …

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 …

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 …

Abstract We analyze a Navier–Stokes–Cahn–Hilliard model for viscous incompressible two-
phase flows where the mechanisms of chemotaxis, active transport and reaction are taken …

We examine a thermodynamically consistent diffuse interface model for two-phase
incompressible viscous flows in a smooth bounded domain Ω⊂ Rd (d∈{2, 3}). This model …

In this article we prove the global existence of weak solutions for a diffuse interface model in
a bounded domain (both in 2D and 3D) involving incompressible magnetic fluids with …

We study a diffuse interface model describing the complex rheology and the interfacial
dynamics during phase separation in a polar liquid-crystalline emulsion. More precisely, the …

We analyze a quasi-incompressible Cahn--Hilliard--Navier--Stokes system (qCHNS) for two-
phase flows with unmatched densities. The order parameter is the volume fraction difference …