TY - JOUR
T1 - Global Dynamics of the Cahn-Hilliard/Allen-Cahn Equation
AU - Ma , Mingze
AU - Zhao , Xiaopeng
JO - Journal of Mathematical Study
VL - 2
SP - 156
EP - 172
PY - 2023
DA - 2023/06
SN - 56
DO - http://doi.org/10.4208/jms.v56n2.23.04
UR - https://global-sci.org/intro/article_detail/jms/21826.html
KW - Global attractor, Cahn-Hilliard/Allen-Cahn, absorbing set.
AB - <p style="text-align: justify;">In this paper, we consider the global dynamics of the Cahn-Hilliard/Allen-Cahn equation with periodic boundary value conditions in 2D bounded domain $Ω.$ We show that the equation has a global attractor in $H^4_{per}(Ω)$ when the initial value
belongs to $H^1_{per}(Ω).$</p>