[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 …
Hilliard equation. It is based on the lectures that I gave at the CBMS-NSF Conference on the …
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 …
Physical, mathematical, and numerical derivations of the Cahn–Hilliard equation
We review physical, mathematical, and numerical derivations of the binary Cahn–Hilliard
equation (after John W. Cahn and John E. Hilliard). The phase separation is described by …
equation (after John W. Cahn and John E. Hilliard). The phase separation is described by …
[HTML][HTML] The Cahn–Hilliard equation and some of its variants
A Miranville - AIMS Mathematics, 2017 - aimspress.com
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An energetic variational approach for the Cahn–Hilliard equation with dynamic boundary condition: model derivation and mathematical analysis
Abstract The Cahn–Hilliard equation is a fundamental model that describes phase
separation processes of binary mixtures. In recent years, several types of dynamic boundary …
separation processes of binary mixtures. In recent years, several types of dynamic boundary …
Nonlocal operator method for the Cahn-Hilliard phase field model
In this paper we propose a Nonlocal Operator Method (NOM) for the solution of the Cahn-
Hilliard (CH) equation exploiting the higher order continuity of the NOM. The method is …
Hilliard (CH) equation exploiting the higher order continuity of the NOM. The method is …
Analysis of a Cahn--Hilliard system with non-zero Dirichlet conditions modeling tumor growth with chemotaxis
We consider a diffuse interface model for tumor growth consisting of a Cahn--Hilliard
equation with source terms coupled to a reaction-diffusion equation, which models a tumor …
equation with source terms coupled to a reaction-diffusion equation, which models a tumor …
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 …
Global solution to the Allen–Cahn equation with singular potentials and dynamic boundary conditions
L Calatroni, P Colli - Nonlinear Analysis: Theory, Methods & Applications, 2013 - Elsevier
We prove well-posedness results for the solution to an initial and boundary-value problem
for an Allen–Cahn type equation describing the phenomenon of phase transitions for a …
for an Allen–Cahn type equation describing the phenomenon of phase transitions for a …