[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 …
[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 …
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 …
Optimal boundary control of a viscous Cahn--Hilliard system with dynamic boundary condition and double obstacle potentials
P Colli, MH Farshbaf-Shaker, G Gilardi… - SIAM Journal on Control …, 2015 - SIAM
In this paper, we investigate optimal boundary control problems for Cahn--Hilliard variational
inequalities with a dynamic boundary condition involving double obstacle potentials and the …
inequalities with a dynamic boundary condition involving double obstacle potentials and the …
Nonlocal-to-local convergence of Cahn–Hilliard equations: Neumann boundary conditions and viscosity terms
We consider a class of nonlocal viscous Cahn–Hilliard equations with Neumann boundary
conditions for the chemical potential. The double-well potential is allowed to be singular (eg …
conditions for the chemical potential. The double-well potential is allowed to be singular (eg …
[HTML][HTML] Cahn–Hilliard equation with dynamic boundary conditions and mass constraint on the boundary
P Colli, T Fukao - Journal of Mathematical Analysis and Applications, 2015 - Elsevier
Abstract The well-known Cahn–Hilliard equation entails mass conservation if a suitable
boundary condition is prescribed. In the case when the equation is also coupled with a …
boundary condition is prescribed. In the case when the equation is also coupled with a …
A boundary control problem for the pure Cahn–Hilliard equation with dynamic boundary conditions
P Colli, G Gilardi, J Sprekels - Advances in Nonlinear Analysis, 2015 - degruyter.com
A boundary control problem for the pure Cahn–Hilliard equation with dynamic boundary
conditions Page 1 Adv. Nonlinear Anal. ; ( ): – Research Article Pierluigi Colli*, Gianni Gilardi …
conditions Page 1 Adv. Nonlinear Anal. ; ( ): – Research Article Pierluigi Colli*, Gianni Gilardi …