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 $\nu = 0$.