Exponential attractor for the Cahn-Hilliard-Oono equation in R^N
DOI:
https://doi.org/10.12775/TMNA.2023.018Keywords
Fractal dimension, initial value problems for higher order parabolic equations, semilinear parabolic equations, exponential attractorsAbstract
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.References
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