[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 …
Extended smoothed boundary method for solving partial differential equations with general boundary conditions on complex boundaries
In this paper, we describe an approach for solving partial differential equations with general
boundary conditions imposed on arbitrarily shaped boundaries. A continuous function, the …
boundary conditions imposed on arbitrarily shaped boundaries. A continuous function, the …
Phase-field dynamics with transfer of materials: the Cahn–Hilliard equation with reaction rate dependent dynamic boundary conditions
The Cahn–Hilliard equation is one of the most common models to describe phase
separation processes of a mixture of two materials. For a better description of short-range …
separation processes of a mixture of two materials. For a better description of short-range …
Weak solutions of the Cahn--Hilliard system with dynamic boundary conditions: A gradient flow approach
The Cahn--Hilliard equation is the most common model to describe phase separation
processes of a mixture of two components. For a better description of short-range …
processes of a mixture of two components. For a better description of short-range …
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 …
Long-time dynamics and optimal control of a diffuse interface model for tumor growth
We investigate the long-time dynamics and optimal control problem of a thermodynamically
consistent diffuse interface model that describes the growth of a tumor in presence of a …
consistent diffuse interface model that describes the growth of a tumor in presence of a …