### Dynamics of the modified viscous Cahn-Hilliard equation in $\mathbb{R}^{N}$

#### Abstract

Global solvability and dynamical behaviour of the modified viscous

Cahn-Hilliard equation is studied in the Sobolev space

$H^1({\mathbb{R}}^N)$. For $\nu \in [0,1]$ we

construct $H^1({\mathbb{R}}^N)$ global attractors

and show their upper semicontinuity at $\nu = 0$.

Cahn-Hilliard equation is studied in the Sobolev space

$H^1({\mathbb{R}}^N)$. For $\nu \in [0,1]$ we

construct $H^1({\mathbb{R}}^N)$ global attractors

and show their upper semicontinuity at $\nu = 0$.

#### Keywords

Modified viscous Cahn-Hilliard equation; attractors; upper semicontinuity

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