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 estimates...

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Bibliographic Details
Published in:	Electronic journal of differential equations Vol. 2019; no. 80; pp. 1 - 18
Main Authors:	Yadi Wang, Xin-Guang Yang, Xingjie Yan
Format:	Journal Article
Language:	English
Published:	Texas State University 12-06-2019
Subjects:	distributed delay Navier-Stokes equations Rayleigh's friction
Online Access:	Get full text
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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