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

Date

2019-06-12

Authors

Wang, Yadi
Yang, Xin-Guang
Yan, Xingjie

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University, Department of Mathematics

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.

Description

Keywords

Navier-Stokes equations, Distributed delay, Rayleigh's friction

Citation

Wang, Y., Yang, X. G., & Yan, X. (2019). Dynamics of 2D Navier-Stokes equations with Rayleigh's friction and distributed delay. <i>Electronic Journal of Differential Equations, 2019</i>(80), pp. 1-18.

Rights

Attribution 4.0 International

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Rights License