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arXiv · 1502.02156

Finite Dimensionality of the attractor for the hyperbolic Cahn-Hilliard-Oono Equation in R^3

Anton Savostianov·Sergey Zelik
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Abstract

In this paper, we continue the study of the hyperbolic relaxation of the Cahn-Hilliard-Oono equation with the sub-quintic non-linearity in the whole space $\R^3$ started in our previous paper and verify that under the natural assumptions on the non-linearity and the external force, the fractal dimension of the associated global attractor in the natural energy space is finite.

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Anton Savostianov, Sergey Zelik. 2015-02-07. Finite Dimensionality of the attractor for the hyperbolic Cahn-Hilliard-Oono Equation in R^3. https://doi.org/10.1002/mma.3569

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