[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 …
Attractors for dissipative partial differential equations in bounded and unbounded domains
A Miranville, S Zelik - Handbook of differential equations: evolutionary …, 2008 - Elsevier
Publisher Summary The study of the asymptotic behavior of dynamical systems arising from
mechanics and physics is a capital issue because it is essential for practical applications to …
mechanics and physics is a capital issue because it is essential for practical applications to …
Positivity-preserving, energy stable numerical schemes for the Cahn-Hilliard equation with logarithmic potential
In this paper we present and analyze finite difference numerical schemes for the Cahn-
Hilliard equation with a logarithmic Flory Huggins energy potential. Both first and second …
Hilliard equation with a logarithmic Flory Huggins energy potential. Both first and second …
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 …
Uniqueness and regularity for the Navier--Stokes--Cahn--Hilliard system
The motion of two contiguous incompressible and viscous fluids is described within the
diffuse interface theory by the so-called Model H. The system consists of the Navier--Stokes …
diffuse interface theory by the so-called Model H. The system consists of the Navier--Stokes …
[HTML][HTML] The Cahn–Hilliard equation and some of its variants
A Miranville - AIMS Mathematics, 2017 - aimspress.com
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An energy stable finite element scheme for the three-component Cahn–Hilliard-type model for macromolecular microsphere composite hydrogels
In this article, we present and analyze a finite element numerical scheme for a three-
component macromolecular microsphere composite (MMC) hydrogel model, which takes the …
component macromolecular microsphere composite (MMC) hydrogel model, which takes the …
The Cahn–Hilliard–Oono equation with singular potential
We consider the so-called Cahn–Hilliard–Oono equation with singular (eg logarithmic)
potential in a bounded domain of ℝ d, d≤ 3. The equation is subject to an initial condition …
potential in a bounded domain of ℝ d, d≤ 3. The equation is subject to an initial condition …
The 3D strict separation property for the nonlocal Cahn-Hilliard equation with singular potential
A Poiatti - arXiv preprint arXiv:2303.07745, 2023 - arxiv.org
We consider the nonlocal Cahn-Hilliard equation with singular (logarithmic) potential and
constant mobility in three-dimensional bounded domains and we establish the validity of the …
constant mobility in three-dimensional bounded domains and we establish the validity of the …
[HTML][HTML] The nonlocal Cahn–Hilliard equation with singular potential: well-posedness, regularity and strict separation property
We consider the nonlocal Cahn–Hilliard equation with singular potential and constant
mobility. Well-posedness and regularity of weak solutions are studied. Then we establish the …
mobility. Well-posedness and regularity of weak solutions are studied. Then we establish the …