Dynamics of the 2D Navier-Stokes equations with sublinear operators in Lipschitz-like domains

This paper is concerned with the tempered pullback dynamics of 2D Navier-Stokes equations sublinear time delay operators subject to non-homogeneous boundary conditions in Lipschitz-like domains. By virtue estimates background flow domain and a new retarded Gronwall inequality, we establish existence attractors general setting involving universes.