@Article{JMS-56-2, author = {Mingze, Ma 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 = {https://global-sci.com/article/87621/global-dynamics-of-the-cahn-hilliardallen-cahn-equation} }