Long time decay for 3D Navier-Stokes equations in Sobolev-Gevrey spaces

In this article, we study the long time decay of global solution to 3D incompressible Navier-Stokes equations. We prove that if $u\in{\mathcal C}([0,\infty),H^1_{a,\sigma}(\mathbb{R}^3))$ is a global solution, where $H^1_{a,\sigma}(\mathbb{R}^3)$ is the Sobolev-Gevrey spaces with parameters $a&...

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Bibliographic Details
Main Authors: Jamel Benameur, Lotfi Jlali
Format: Article
Language:English
Published: Texas State University 2016-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2016/104/abstr.html