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 …
process in multi-component mixtures. It has been successfully extended to many different …
The Cahn-Hilliard equation with logarithmic potentials
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 …
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
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A Cahn–Hilliard model in a domain with non-permeable walls
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 …
walls, characterized by dynamic-type boundary conditions. Dynamic boundary conditions for …
[PDF][PDF] Longtime behavior for a model of homogeneous incompressible two-phase flows
CG Gal, M Grasselli - Discrete Contin. Dyn. Syst, 2010 - academia.edu
We consider a diffuse interface model for the evolution of an isothermal incompressible two-
phase flow in a two-dimensional bounded domain. The model consists of the Navier-Stokes …
phase flow in a two-dimensional bounded domain. The model consists of the Navier-Stokes …
The Cahn-Hilliard equation with singular potentials and dynamic boundary conditions
A Miranville, S Zelik - arXiv preprint arXiv:0904.4023, 2009 - arxiv.org
Our aim in this paper is to study the Cahn-Hilliard equation with singular potentials and
dynamic boundary conditions. In particular, we prove, owing to proper approximations of the …
dynamic boundary conditions. In particular, we prove, owing to proper approximations of the …
[PDF][PDF] The non-isothermal Allen-Cahn equation with dynamic boundary conditions
CG Gal, M Grasselli - Discrete Contin. Dyn. Syst, 2008 - Citeseer
We consider a model of nonisothermal phase transitions taking place in a bounded spatial
region. The order parameter ψ is governed by an Allen-Cahn type equation which is …
region. The order parameter ψ is governed by an Allen-Cahn type equation which is …
Long time behavior of the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions
G Gilardi, A Miranville, G Schimperna - Chinese Annals of Mathematics …, 2010 - Springer
Chinese Annals of Mathematics, Series B Long Time Behavior of the Cahn-Hilliard Equation
with Irregular Potentials and Dynamic B Page 1 Chin. Ann. Math. 31B(5), 2010, 679–712 DOI …
with Irregular Potentials and Dynamic B Page 1 Chin. Ann. Math. 31B(5), 2010, 679–712 DOI …
Null controllability for semilinear heat equation with dynamic boundary conditions.
A Khoutaibi, L Maniar… - Discrete & Continuous …, 2022 - search.ebscohost.com
This paper deals with the null controllability of the semilinear heat equation with dynamic
boundary conditions of surface diffusion type, with nonlinearities involving drift terms. First …
boundary conditions of surface diffusion type, with nonlinearities involving drift terms. First …
SOME MATHEMATICAL MODELS IN PHASE TRANSITION.
A Miranville - … & Continuous Dynamical Systems-Series S, 2014 - search.ebscohost.com
SOME MATHEMATICAL MODELS IN PHASE TRANSITION Alain Miranville Contents 1.
Introduction 271 2. Derivation of the Caginalp model 2 Page 1 DISCRETE AND …
Introduction 271 2. Derivation of the Caginalp model 2 Page 1 DISCRETE AND …