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 …
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 …
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 …
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}} …
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 …
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 …
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 …
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 …
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 …