Basic principles and practical applications of the Cahn–Hilliard equation
The celebrated Cahn–Hilliard (CH) equation was proposed to model the process of phase
separation in binary alloys by Cahn and Hilliard. Since then the equation has been …
separation in binary alloys by Cahn and Hilliard. Since then the equation has been …
A robust and efficient fingerprint image restoration method based on a phase-field model
In this study, we present a robust and efficient fingerprint image restoration algorithm using
the nonlocal Cahn–Hilliard (CH) equation, which was proposed for modeling the …
the nonlocal Cahn–Hilliard (CH) equation, which was proposed for modeling the …
Linear energy-stable method with correction technique for the Ohta–Kawasaki–Navier–Stokes model of incompressible diblock copolymer melt
J Yang - Communications in Nonlinear Science and Numerical …, 2024 - Elsevier
An efficiently linear time-marching method is proposed for the incompressible fluid flows
coupled Ohta–Kawasaki model of diblock copolymer melt. Although this model satisfies the …
coupled Ohta–Kawasaki model of diblock copolymer melt. Although this model satisfies the …
[HTML][HTML] Energy stable compact scheme for Cahn–Hilliard equation with periodic boundary condition
S Lee, J Shin - Computers & Mathematics with Applications, 2019 - Elsevier
We present a compact scheme to solve the Cahn–Hilliard equation with a periodic boundary
condition, which is fourth-order accurate in space. We introduce schemes for two and three …
condition, which is fourth-order accurate in space. We introduce schemes for two and three …
A polynomial-augmented RBF collocation method using fictitious centres for solving the Cahn–Hilliard equation
D Cao, X Li, H Zhu - Engineering Analysis with Boundary Elements, 2022 - Elsevier
In this paper, we consider the radial basis function collocation method with fictitious centres
for solving the Cahn–Hilliard equation in one-dimensional and two-dimensional settings …
for solving the Cahn–Hilliard equation in one-dimensional and two-dimensional settings …
A benchmark problem for the two-and three-dimensional Cahn–Hilliard equations
This paper proposes a benchmark problem for the two-and three-dimensional Cahn–Hilliard
(CH) equations, which describe the process of phase separation. The CH equation is highly …
(CH) equations, which describe the process of phase separation. The CH equation is highly …
Analytical solutions of Cahn-Hillard phase-field model for spinodal decomposition of a binary system
Spinodal decomposition is a very important and challenging issue not for only materials
science but for also many other fields in science. Phase-field models, which have become …
science but for also many other fields in science. Phase-field models, which have become …
Determine source of Cahn–Hilliard equation with time‐fractional derivative by iterative variational regularization method
J Li, H Cheng - Mathematical Methods in the Applied Sciences, 2024 - Wiley Online Library
In this paper, we consider the inverse problem for the time‐fractional two‐dimensional Cahn–
Hilliard equation. The ill‐posedness and a conditional stability of the inverse problem are …
Hilliard equation. The ill‐posedness and a conditional stability of the inverse problem are …
Doubly Nonlocal Cahn–Hilliard Equations: Well-posedness and Asymptotic Behavior
This chapter focuses on a doubly nonlocal Cahn–Hilliard system that involves weakly
singular kernels in the operators and which allows discontinuous solutions. The system is …
singular kernels in the operators and which allows discontinuous solutions. The system is …
Fourth-order spatial and second-order temporal accurate compact scheme for Cahn–Hilliard equation
S Lee - International Journal of Nonlinear Sciences and …, 2019 - degruyter.com
We propose a fourth-order spatial and second-order temporal accurate and unconditionally
stable compact finite-difference scheme for the Cahn–Hilliard equation. The proposed …
stable compact finite-difference scheme for the Cahn–Hilliard equation. The proposed …