Abstract
We consider the Cahn-Hilliard-Oono equation in the whole of $\mathbb{R}^N$, $N\leq 3$. We prove the existence of an exponential attractor in $H^1\big(\mathbb{R}^N\big)$, which contains a global attractor. We also estimate from above fractal dimension of the attractors.
Citation
Jan W. Cholewa. Radosław Czaja. "Exponential attractor for the Cahn-Hilliard-Oono equation in $\mathbb R^N$." Topol. Methods Nonlinear Anal. 62 (2) 485 - 508, 2023. https://doi.org/10.12775/TMNA.2023.018
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