Year: 2023
Author: Mingze Ma, Xiaopeng Zhao
Journal of Mathematical Study, Vol. 56 (2023), Iss. 2 : pp. 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 $H^1_{per}(Ω).$
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v56n2.23.04
Journal of Mathematical Study, Vol. 56 (2023), Iss. 2 : pp. 156–172
Published online: 2023-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Global attractor Cahn-Hilliard/Allen-Cahn absorbing set.