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 …

In this survey article, a variety of systems modeling tumor growth are discussed. In
accordance with the hallmarks of cancer, the described models incorporate the primary …

The Cahn–Hilliard equation and some of its variants Home 8.{{subColumn.name}} AIMS
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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 …

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 …

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 …

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 …

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 …

We consider a model describing the evolution of a tumor inside a host tissue in terms of the
parameters $\varphi_p $, $\varphi_d $(proliferating and dead cells, respectively), $ u $(cell …