This paper investigates the separation property in binary phase-segregation processes
modelled by Cahn-Hilliard type equations with constant mobility, singular entropy densities …

We study a diffuse interface model that describes the dynamics of incompressible two-phase
flows with chemotaxis effects. This model also takes into account some significant …

This paper provides a unified mathematical analysis of a family of non-local diffuse interface
models for tumor growth describing evolutions driven by long-range interactions. These …

Abstract We study the Abels–Garcke–Grün (AGG) model for a mixture of two viscous
incompressible fluids with different densities. The AGG model consists of a Navier–Stokes …

We study a diffuse interface model for two-phase flows of similar densities in superposed
free flow and porous media. The model consists of the Navier–Stokes–Cahn–Hilliard system …

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 unique …

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 introduce a multi-species diffuse interface model for tumor growth, characterized by its
incorporation of essential features related to chemotaxis, angiogenesis and proliferation …

We study a phase field model proposed recently in the context of tumour growth. The model
couples a Cahn–Hilliard–Brinkman (CHB) system with an elliptic reaction-diffusion equation …

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 …