[图书][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 …

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 …

On a diffuse interface model for two-phase flows of viscous, incompressible fluids with matched densities

H Abels - Archive for rational mechanics and analysis, 2009 - Springer
We study a diffuse interface model for the flow of two viscous incompressible Newtonian
fluids of the same density in a bounded domain. The fluids are assumed to be …

Asymptotic behavior of a Cahn–Hilliard–Navier–Stokes system in 2D

CG Gal, M Grasselli - Annales de l'IHP Analyse non linéaire, 2010 - numdam.org
We consider a model for the flow of a mixture of two homogeneous and incompressible
fluids in a two-dimensional bounded domain. The model consists of a Navier–Stokes …

Uniqueness and regularity for the Navier--Stokes--Cahn--Hilliard system

A Giorgini, A Miranville, R Temam - SIAM Journal on Mathematical Analysis, 2019 - SIAM
The motion of two contiguous incompressible and viscous fluids is described within the
diffuse interface theory by the so-called Model H. The system consists of the Navier--Stokes …

[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}} …

Analysis of a phase-field model for two-phase compressible fluids

E Feireisl, H Petzeltová, E Rocca… - … Models and Methods in …, 2010 - World Scientific
A model describing the evolution of a binary mixture of compressible, viscous, and
macroscopically immiscible fluids is investigated. The existence of global-in-time weak …

A thermodynamically consistent phase-field model for two-phase flows with thermocapillary effects

Z Guo, P Lin - Journal of Fluid Mechanics, 2015 - cambridge.org
In this paper, we develop a phase-field model for binary incompressible (quasi-
incompressible) fluid with thermocapillary effects, which allows for the different properties …

Trajectory attractors for binary fluid mixtures in 3D

CG Gal, M Grasselli - Chinese Annals of Mathematics, Series B, 2010 - Springer
Two different models for the evolution of incompressible binary fluid mixtures in a three-
dimensional bounded domain are considered. They consist of the 3D incompressible Navier …

Existence of weak solutions for a diffuse interface model for viscous, incompressible fluids with general densities

H Abels - Communications in Mathematical Physics, 2009 - Springer
We study a diffuse interface model for the flow of two viscous incompressible Newtonian
fluids in a bounded domain. The fluids are assumed to be macroscopically immiscible, but a …