Dynamics of 2D Navier-Stokes equations with Rayleigh's friction and distributed delay

Abstract

This article concerns the long time dynamics of a 2D incompressible Navier-Stokes equation with Rayleigh's friction and distributed delay. Under appropriate assumptions on the external force and delay term, we obtain global well-posedness in new phase spaces with delay. Using uniform estimates and compact embedding, we obtain a global attractor.

Keywords

• Navier-Stokes equations
• distributed delay
• Rayleigh's friction