Pullback attractor of a non-autonomous order-2γ parabolic equation for an epitaxial thin film growth model

Abstract

Abstract The non-autonomous order-2γ parabolic partial differential equation for an epitaxial thin film growth model with dimension d = 3 $d=3$ is investigated by the method of uniform estimates. The existence of a pullback attractor for the 3D model is proved for γ > 3 $\gamma >3$ .

Keywords

• Pullback attractor
• Asymptotic compactness
• Non-autonomous parabolic equation