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

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 estima...

Full description

Bibliographic Details
Main Authors: Yadi Wang, Xin-Guang Yang, Xingjie Yan
Format: Article
Language:English
Published: Texas State University 2019-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2019/80/abstr.html
Description
Summary: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.
ISSN:1072-6691