[KÖNYV][B] The Cahn–Hilliard equation: recent advances and applications

A Miranville - 2019 - SIAM
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 …

A review on the Cahn-Hilliard equation: classical results and recent advances in dynamic boundary conditions

H Wu - arxiv preprint arxiv:2112.13812, 2021 - arxiv.org
The Cahn-Hilliard equation is a fundamental model that describes the phase separation
process in multi-component mixtures. It has been successfully extended to many different …

The Cahn-Hilliard equation with logarithmic potentials

L Cherfils, A Miranville, S Zelik - Milan Journal of Mathematics, 2011 - Springer
Our aim in this article is to discuss recent issues related with the Cahn-Hilliard equation in
phase separation with the thermodynamically relevant logarithmic potentials; in particular …

[HTML][HTML] The Cahn–Hilliard equation and some of its variants

A Miranville - AIMS Mathematics, 2017 - aimspress.com
The Cahn–Hilliard equation and some of its variants Home 8.{{subColumn.name}} AIMS
Mathematics Search Advanced Home {{newsColumn.name}} 1.{{subColumn.name}} {{newsColumn.name}} …

An energetic variational approach for the Cahn–Hilliard equation with dynamic boundary condition: model derivation and mathematical analysis

C Liu, H Wu - Archive for Rational Mechanics and Analysis, 2019 - Springer
Abstract The Cahn–Hilliard equation is a fundamental model that describes phase
separation processes of binary mixtures. In recent years, several types of dynamic boundary …

Phase-field dynamics with transfer of materials: the Cahn–Hilliard equation with reaction rate dependent dynamic boundary conditions

P Knopf, KF Lam, C Liu, S Metzger - … : Mathematical Modelling and …, 2021 - esaim-m2an.org
The Cahn–Hilliard equation is one of the most common models to describe phase
separation processes of a mixture of two materials. For a better description of short-range …

A Cahn–Hilliard model in a domain with non-permeable walls

GR Goldstein, A Miranville, G Schimperna - Physica D: Nonlinear …, 2011 - Elsevier
We consider in this article a Cahn–Hilliard model in a bounded domain with non-permeable
walls, characterized by dynamic-type boundary conditions. Dynamic boundary conditions for …

Weak solutions of the Cahn--Hilliard system with dynamic boundary conditions: A gradient flow approach

H Garcke, P Knopf - SIAM Journal on Mathematical Analysis, 2020 - SIAM
The Cahn--Hilliard equation is the most common model to describe phase separation
processes of a mixture of two components. For a better description of short-range …

On a multi-species Cahn-Hilliard-Darcy tumor growth model with singular potentials

S Frigeri, KF Lam, E Rocca, G Schimperna - arxiv preprint arxiv …, 2017 - arxiv.org
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 …

Well-posedness of a bulk-surface convective Cahn–Hilliard system with dynamic boundary conditions

P Knopf, J Stange - Nonlinear Differential Equations and Applications …, 2024 - Springer
We consider a general class of bulk-surface convective Cahn–Hilliard systems with dynamic
boundary conditions. In contrast to classical Neumann boundary conditions, the dynamic …