[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 …

Attractors for dissipative partial differential equations in bounded and unbounded domains

A Miranville, S Zelik - Handbook of differential equations: evolutionary …, 2008 - Elsevier
Publisher Summary The study of the asymptotic behavior of dynamical systems arising from
mechanics and physics is a capital issue because it is essential for practical applications to …

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}} …

On the 2D Cahn–Hilliard equation with inertial term

M Grasselli, G Schimperna, S Zelik - Communications in Partial …, 2009 - Taylor & Francis
Galenko et al. proposed a modified Cahn–Hilliard equation to model rapid spinodal
decomposition in non-equilibrium phase separation processes. This equation contains an …

[PDF][PDF] A remark on the damped wave equation

V Pata, S Zelik - Communications on Pure and Applied Analysis, 2006 - mate.unipv.it
A REMARK ON THE DAMPED WAVE EQUATION Vittorino Pata Sergey Zelik (Communicated
by Alain Miranville) We consider the semilinear ( Page 1 COMMUNICATIONS ON Website …

Kinetic contribution to the fast spinodal decomposition controlled by diffusion

P Galenko, D Jou - Physica A: Statistical Mechanics and its Applications, 2009 - Elsevier
Analysis of a model for fast spinodal decomposition controlled by diffusion is proposed.
Using the concept of fast phase separation, an interpretation of a purely non-equilibrium …

Global attractors for the extensible thermoelastic beam system

C Giorgi, MG Naso, V Pata, M Potomkin - Journal of Differential Equations, 2009 - Elsevier
This work is focused on the dissipative system describing the dynamics of an extensible
thermoelastic beam, where the dissipation is entirely contributed by the second equation …

On the 3D Cahn–Hilliard equation with inertial term

M Grasselli, G Schimperna, A Segatti… - Journal of Evolution …, 2009 - Springer
We study the modified Cahn–Hilliard equation proposed by Galenko et al. in order to
account for rapid spinodal decomposition in certain glasses. This equation contains, as …

Hyperbolic relaxation of the viscous Cahn–Hilliard equation with a symport term for biological applications

D Dor, A Miranville, M Pierre - Mathematical Methods in the …, 2024 - Wiley Online Library
We consider the hyperbolic relaxation of the viscous Cahn–Hilliard equation with a symport
term. This equation is characterized by the presence of the additional inertial term τ D ϕ tt τ …