The celebrated Cahn–Hilliard (CH) equation was proposed to model the process of phase
separation in binary alloys by Cahn and Hilliard. Since then the equation has been …

Using basic thermodynamic principles we derive a Cahn–Hilliard–Darcy model for tumour
growth including nutrient diffusion, chemotaxis, active transport, adhesion, apoptosis and …

We derive a Cahn–Hilliard–Darcy model to describe multiphase tumour growth taking
interactions with multiple chemical species into account as well as the simultaneous …

We consider a diffuse interface model for tumour growth consisting of a Cahn–Hilliard
equation with source terms coupled to a reaction–diffusion equation. The coupled system of …

In this paper, a distributed optimal control problem is studied for a diffuse interface model of
tumor growth which was proposed by Hawkins–Daruud et al in Hawkins–Daruud et al (2011 …

We consider a diffuse interface model of tumour growth proposed by A. Hawkins-Daruud et
al.((2013) J. Math. Biol. 67 1457–1485). This model consists of the Cahn–Hilliard equation …

Phase field models recently gained a lot of interest in the context of tumour growth models.
Typically Darcy-type flow models are coupled to Cahn–Hilliard equations. However, often …

In this article, we consider the Cahn–Hilliard–Brinkman–Ohta–Kawasaki tumor growth
system, which couples the Brinkman flow equations in the porous medium and the Cahn …

The paper deals with a phase field system of Cahn-Hilliard type. For positive viscosity
coefficients, the authors prove an existence and uniqueness result and study the long time …

We consider the problem of the long time dynamics for a diffuse interface model for tumor
growth. The model describes the growth of a tumor surrounded by host tissues in the …