an:06953804
Zbl 1400.35157
Kim, Junseok; Lee, Seunggyu; Choi, Yongho; Lee, Seok-Min; Jeong, Darae
Basic principles and practical applications of the Cahn-Hilliard equation
EN
Math. Probl. Eng. 2016, Article ID 9532608, 11 p. (2016).
00416355
2016
j
35K35 35Q53 74N20 76T99 80A22 92B25
Summary: 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 extended to a variety of chemical, physical, biological, and other engineering fields such as spinodal decomposition, diblock copolymer, image inpainting, multiphase fluid flows, microstructures with elastic inhomogeneity, tumor growth simulation, and topology optimization. Therefore, it is important to understand the basic mechanism of the CH equation in each modeling type. In this paper, we review the applications of the CH equation and describe the basic mechanism of each modeling type with helpful references and computational simulation results.