[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 …
On the Cahn–Hilliard equation with degenerate mobility
CM Elliott, H Garcke - Siam journal on mathematical analysis, 1996 - SIAM
An existence result for the Cahn–Hilliard equation with a concentration dependent
diffusional mobility is presented. In particular, the mobility is allowed to vanish when the …
diffusional mobility is presented. In particular, the mobility is allowed to vanish when the …
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 …
Viscous Cahn–Hilliard equation II. Analysis
CM Elliott, AM Stuart - Journal of differential equations, 1996 - Elsevier
The viscous Cahn–Hilliard equation may be viewed as a singular limit of the phase-field
equations for phase transitions. It contains both the Allen–Cahn and Cahn–Hilliard models …
equations for phase transitions. It contains both the Allen–Cahn and Cahn–Hilliard models …
Dewetting films: bifurcations and concentrations
AL Bertozzi, G Grün, TP Witelski - Nonlinearity, 2001 - iopscience.iop.org
Under the influence of long-range attractive and short-range repulsive forces, thin liquid
films rupture and form complex dewetting patterns. This paper studies this phenomenon in …
films rupture and form complex dewetting patterns. This paper studies this phenomenon in …
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 …
A high order operator splitting method based on spectral deferred correction for the nonlocal viscous Cahn-Hilliard equation
S Zhai, Z Weng, Y Yang - Journal of Computational Physics, 2021 - Elsevier
Abstract Recently, the viscous Cahn-Hilliard (VCH) equation has been proposed as a
phenomenological continuum model for phase separation in glass and polymer systems …
phenomenological continuum model for phase separation in glass and polymer systems …