Global Dynamics of the Cahn-Hilliard/Allen-Cahn Equation

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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 $H^1_{per}(Ω).$

Keywords:

Global attractor Cahn-Hilliard/Allen-Cahn absorbing set.
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DOI

10.4208/jms.v56n2.23.04

How to Cite

Global Dynamics of the Cahn-Hilliard/Allen-Cahn Equation. (2023). Journal of Mathematical Study, 56(2), 156-172. https://doi.org/10.4208/jms.v56n2.23.04