This book discusses classical results, as well as recent developments, related to the Cahn–
Hilliard equation. It is based on the lectures that I gave at the CBMS-NSF Conference on the …

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

The Cahn–Hilliard equation and some of its variants Home 8.{{subColumn.name}} AIMS
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We study the existence of weak solutions to a mixture model for tumour growth that consists
of a Cahn–Hilliard–Darcy system coupled with an elliptic reaction-diffusion equation. The …

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 …

We consider an optimal control problem for a diffuse interface model of tumor growth. The
state equations couples a Cahn–Hilliard equation and a reaction-diffusion equation, which …

Abstract The Cahn–Hilliard–Hele–Shaw system is a fundamental diffuse-interface model for
an incompressible binary fluid confined in a Hele–Shaw cell. It consists of a convective …