[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 …
Interfacial Dynamics Pioneer Stephen H. Davis (1939–2021)
MJ Miksis, GP Neitzel… - Annual Review of Fluid …, 2024 - annualreviews.org
Stephen H. Davis (1939–2021) was an applied mathematician, fluid dynamicist, and
materials scientist who lead the field in his contributions to interfacial dynamics, thermal …
materials scientist who lead the field in his contributions to interfacial dynamics, thermal …
Scalar φ4 field theory for active-particle phase separation
Recent theories predict phase separation among orientationally disordered active particles
whose propulsion speed decreases rapidly enough with density. Coarse-grained models of …
whose propulsion speed decreases rapidly enough with density. Coarse-grained models of …
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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Solving the regularized, strongly anisotropic Cahn–Hilliard equation by an adaptive nonlinear multigrid method
We present efficient, second-order accurate and adaptive finite-difference methods to solve
the regularized, strongly anisotropic Cahn–Hilliard equation in 2D and 3D. When the surface …
the regularized, strongly anisotropic Cahn–Hilliard equation in 2D and 3D. When the surface …
Consistent, energy-conserving momentum transport for simulations of two-phase flows using the phase field equations
S Mirjalili, A Mani - Journal of Computational Physics, 2021 - Elsevier
Realistic two-phase flow problems of interest often involve high Re flows with high density
ratios. Accurate and robust simulation of such problems requires special treatments. In this …
ratios. Accurate and robust simulation of such problems requires special treatments. In this …
Suppression of coarsening and emergence of oscillatory behavior in a Cahn-Hilliard model with nonvariational coupling
T Frohoff-Hülsmann, J Wrembel, U Thiele - Physical Review E, 2021 - APS
We investigate a generic two-field Cahn-Hilliard model with variational and nonvariational
coupling. It describes, for instance, passive and active ternary mixtures, respectively. Already …
coupling. It describes, for instance, passive and active ternary mixtures, respectively. Already …
Active surface flows accelerate the coarsening of lipid membrane domains
Phase separation of multicomponent lipid membranes is characterized by the nucleation
and coarsening of circular membrane domains that grow slowly in time as∼ t 1/3, following …
and coarsening of circular membrane domains that grow slowly in time as∼ t 1/3, following …
Surface evolution of elastically stressed films under deposition by a diffuse interface model
We consider the heteroepitaxial growth of thin films by numerical simulations within a diffuse
interface model. The model is applicable to describe the self-organization of nanostructures …
interface model. The model is applicable to describe the self-organization of nanostructures …