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

Tomasz Dłotko, Chunyou Sun

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 $\nu = 0$.

Keywords


Modified viscous Cahn-Hilliard equation; attractors; upper semicontinuity

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