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

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 ${\mathbb{R}}^3$ 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.

Cited by in corpus (1)

• Variational description of uniform Lyapunov exponents via adapted metrics on exterior products