TY  - JOUR
AU  - Wu, Hao
PY  - 2022
TI  - A review on the Cahn–Hilliard equation: classical results and recent advances in dynamic boundary conditions
JO  - Electronic Research Archive
SP  - 2788
EP  - 2832
VL  - 30
IS  - 8
AB  - The Cahn–Hilliard equation is a fundamental model that describes the phase separation process in multi-component mixtures. It has been successfully extended to different contexts in various scientific fields. In this survey article, we briefly review the derivation, structure as well as some analytical issues for the Cahn–Hilliard equation and its variants. Our focus will be placed on the well-posedness as well as long-time behavior of global solutions for the Cahn–Hilliard equation in the classical setting and recent progresses on the dynamic boundary conditions that describe non-trivial boundary effects.
UR  - https://doi.org/10.3934/era.2022143
DO  - 10.3934/era.2022143