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[BOK][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 …
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 …
A positivity-preserving, energy stable and convergent numerical scheme for the Poisson-Nernst-Planck system
In this paper we propose and analyze a finite difference numerical scheme for the Poisson-
Nernst-Planck equation (PNP) system. To understand the energy structure of the PNP …
Nernst-Planck equation (PNP) system. To understand the energy structure of the PNP …
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 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 …
Unified framework for the separation property in binary phase-segregation processes with singular entropy densities
This paper investigates the separation property in binary phase-segregation processes
modelled by Cahn-Hilliard type equations with constant mobility, singular entropy densities …
modelled by Cahn-Hilliard type equations with constant mobility, singular entropy densities …
[PDF][PDF] The separation property for 2D Cahn-Hilliard equations: local, nonlocal and fractional energy cases
We study the separation property for Cahn-Hilliard type equations with constant mobility and
(physically relevant) singular potentials in two dimensions. That is, any solution with initial …
(physically relevant) singular potentials in two dimensions. That is, any solution with initial …
The Cahn–Hilliard–Hele–Shaw system with singular potential
The Cahn–Hilliard–Hele–Shaw system with singular potential Page 1 Available online at
www.sciencedirect.com ScienceDirect Ann. IH Poincaré – AN 35 (2018) 1079–1118 …
www.sciencedirect.com ScienceDirect Ann. IH Poincaré – AN 35 (2018) 1079–1118 …