[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 …

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}} …

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 …

Convergence to equilibrium for a phase-field model for the mixture of two viscous incompressible fluids

L Zhao, H Wu, H Huang - 2009 - projecteuclid.org
In this paper, we study the existence and long-time behavior of global strong solutions to a
system describing the mixture of two viscous incompressible Newtonian fluids of the same …

The sharp interface limit of a Navier–Stokes/Allen–Cahn system with constant mobility: Convergence rates by a relative energy approach

S Hensel, Y Liu - SIAM Journal on Mathematical Analysis, 2023 - SIAM
We investigate the sharp interface limit of a diffuse interface system that couples the Allen–
Cahn equation with the instationary Navier–Stokes system in a bounded domain in with …

Sharp interface limit for a Navier–Stokes/Allen–Cahn system with different viscosities

H Abels, M Fei - SIAM Journal on Mathematical Analysis, 2023 - SIAM
We discuss the sharp interface limit of a coupled Navier–Stokes/Allen–Cahn system in a two
dimensional, bounded and smooth domain, when a parameter that is proportional to the …

[HTML][HTML] On the existence and uniqueness of solution to a stochastic 2D Cahn–Hilliard–Navier–Stokes model

TT Medjo - Journal of Differential Equations, 2017 - Elsevier
We study in this article a stochastic version of a coupled Cahn–Hilliard–Navier–Stokes
model in a two dimensional bounded domain. The model consists of the Navier–Stokes …