Pullback D-attractors of the three-dimensional non-autonomous micropolar equations with damping

Abstract

In this paper, we consider the three-dimensional non-autonomous micropolar equations with damping term in periodic domain $ \mathbb{T}^{3} $. By assuming external forces satisfy certain condtions, the existence of pullback $ \mathcal{D} $-attractors for the three-dimensional non-autonomous micropolar equations with damping term is proved in $ V_{1}\times V_{2} $ and $ H^{2}\times H^{2} $ with $ 3 < \beta < 5 $.

Keywords

• micropolar equations
• damping
• pullback d-attractors
• non-autonomous
• periodic domain