Global Dynamics of the Cahn-Hilliard/Allen-Cahn Equation
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@Article{JMS-56-156,
author = {Ma , Mingze and Zhao , Xiaopeng},
title = {Global Dynamics of the Cahn-Hilliard/Allen-Cahn Equation},
journal = {Journal of Mathematical Study},
year = {2023},
volume = {56},
number = {2},
pages = {156--172},
abstract = {
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 $H^1_{per}(Ω).$
}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v56n2.23.04}, url = {http://global-sci.org/intro/article_detail/jms/21826.html} }
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 -
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 $H^1_{per}(Ω).$
Mingze Ma & Xiaopeng Zhao. (2023). Global Dynamics of the Cahn-Hilliard/Allen-Cahn Equation.
Journal of Mathematical Study. 56 (2).
156-172.
doi:10.4208/jms.v56n2.23.04
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