Electronic Journal of Differential Equations,
Vol. 2019 (2019), No. 80, pp. 1-18.

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

Authors: Yadi Wang  (Southeast Univ., Ningjing, China)
         Xin-Guang Yang (Henan Normal Univ., Xinxiang, China)
         Xingjie Yan (China Univ. of Mining and Technology, Xuzhou, China)

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.

Submitted June 21, 2018. Published June 12, 2019.
Math Subject Classifications: 35Q30, 35B40, 35B41, 76D03, 76D05.
Key Words: Navier-Stokes equations; distributed delay; Rayleigh's friction.