[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 …
[HTML][HTML] The Cahn–Hilliard equation and some of its variants
A Miranville - AIMS Mathematics, 2017 - aimspress.com
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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 …
Optimal distributed control of a diffuse interface model of tumor growth
In this paper, a distributed optimal control problem is studied for a diffuse interface model of
tumor growth which was proposed by Hawkins–Daruud et al in Hawkins–Daruud et al (2011 …
tumor growth which was proposed by Hawkins–Daruud et al in Hawkins–Daruud et al (2011 …
[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 …
Convergence analysis for second‐order accurate schemes for the periodic nonlocal Allen‐Cahn and Cahn‐Hilliard equations
Z Guan, J Lowengrub, C Wang - Mathematical Methods in the …, 2017 - Wiley Online Library
In this paper, we provide a detailed convergence analysis for fully discrete second‐order (in
both time and space) numerical schemes for nonlocal Allen‐Cahn and nonlocal Cahn …
both time and space) numerical schemes for nonlocal Allen‐Cahn and nonlocal Cahn …
On nonlocal Cahn–Hilliard–Navier–Stokes systems in two dimensions
We consider a diffuse interface model which describes the motion of an incompressible
isothermal mixture of two immiscible fluids. This model consists of the Navier–Stokes …
isothermal mixture of two immiscible fluids. This model consists of the Navier–Stokes …
Local asymptotics for nonlocal convective Cahn-Hilliard equations with W1, 1 kernel and singular potential
We prove existence of solutions and study the nonlocal-to-local asymptotics for nonlocal,
convective, Cahn-Hilliard equations in the case of a W 1, 1 convolution kernel and under …
convective, Cahn-Hilliard equations in the case of a W 1, 1 convolution kernel and under …
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 …