We consider the nonlocal Cahn-Hilliard equation with singular (logarithmic) potential and
constant mobility in three-dimensional bounded domains and we establish the validity of the …

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 discuss the sharp interface limit of a coupled Navier–Stokes/Allen–Cahn system in a two
dimensional, bounded and smooth domain, when a parameter that is proportional to the …

We show convergence of the Navier–Stokes/Allen–Cahn system to a classical sharp
interface model for the two-phase flow of two viscous incompressible fluids with same …

We consider a multi-component version of the conserved Allen–Cahn equation proposed by
J. Rubinstein and P. Sternberg in 1992 as an alternative model for phase separation. In our …

We consider the sharp interface limit of a convective Allen–Cahn equation, which can be
part of a Navier–Stokes/Allen–Cahn system, for different scalings of the mobility m_ ε= m_0 …

We analyze a diffuse interface model for multi-phase flows of N incompressible, viscous
Newtonian fluids with different densities. In the case of a bounded and sufficiently smooth …

We analyze a diffuse interface model that describes the dynamics of incompressible two-
phase flows with chemotaxis effect. The PDE system couples the Navier–Stokes equations …

We consider a diffuse interface model for an incompressible binary fluid flow. The model
consists of the Navier–Stokes–Voigt equations coupled with the mass-conserving Allen …

We investigate a stochastic version of the Allen–Cahn–Navier–Stokes system in a smooth
two-or three-dimensional domain with random initial data. The system consists of a Navier …