Large time behaviour of solutions to the 3D-NSE in Xσ spaces

In this paper we study the incompressible Navier-Stokes equations in L2(R3)∩X−1(R3). In the global existence case, we establish that if the solution u is in the space C(R+,L2∩X−1), then for σ>−3/2 the decay of ‖u(t)‖Xσ is at least of the order of t−(2σ+3)/4. Fourier analysis and standard techniqu...

Full description

Saved in:
Bibliographic Details
Published in:Journal of mathematical analysis and applications 2020-02, Vol.482 (2), p.123566, Article 123566
Main Authors: Benameur, Jamel, Bennaceur, Mariem
Format: Article
Language:English
Subjects:
Critical spaces
Long time decay
Navier-Stokes Equations
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper we study the incompressible Navier-Stokes equations in L2(R3)∩X−1(R3). In the global existence case, we establish that if the solution u is in the space C(R+,L2∩X−1), then for σ>−3/2 the decay of ‖u(t)‖Xσ is at least of the order of t−(2σ+3)/4. Fourier analysis and standard techniques are used.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2019.123566