[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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Traveling waves of the solidification and melting of cubic crystal lattices
V Ankudinov, KR Elder, PK Galenko - Physical Review E, 2020 - APS
Using the phase field crystal model (PFC model), an analysis of slow and fast dynamics of
solid-liquid interfaces in solidification and melting processes is presented. Dynamical …
solid-liquid interfaces in solidification and melting processes is presented. Dynamical …
Attractors for damped quintic wave equations in bounded domains
The dissipative wave equation with a critical quintic non-linearity in smooth bounded three-
dimensional domain is considered. Based on the recent extension of the Strichartz estimates …
dimensional domain is considered. Based on the recent extension of the Strichartz estimates …
On the 2D Cahn–Hilliard equation with inertial term
Galenko et al. proposed a modified Cahn–Hilliard equation to model rapid spinodal
decomposition in non-equilibrium phase separation processes. This equation contains an …
decomposition in non-equilibrium phase separation processes. This equation contains an …
[PDF][PDF] Global smooth solutions of the three-dimensional modified phase field crystal equation
GLOBAL SMOOTH SOLUTIONS OF THE THREE-DIMENSIONAL MODIFIED PHASE FIELD
CRYSTAL EQUATION∗ 1. Introduction. The Phase Field Cryst Page 1 METHODS AND …
CRYSTAL EQUATION∗ 1. Introduction. The Phase Field Cryst Page 1 METHODS AND …
Trajectory and smooth attractors for Cahn–Hilliard equations with inertial term
This paper is devoted to a modification of the classical Cahn–Hilliard equation proposed by
some physicists. This modification is obtained by adding the second time derivative of the …
some physicists. This modification is obtained by adding the second time derivative of the …
Coarse graining for the phase-field model of fast phase transitions
D Jou, PK Galenko - Physical Review E—Statistical, Nonlinear, and Soft …, 2013 - APS
Fast phase transitions under lack of local thermalization between successive elementary
steps of the physical process are treated analytically. Non-Markovian master equations are …
steps of the physical process are treated analytically. Non-Markovian master equations are …