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Long time decay of 3D-NSE in Lei-Lin-Gevrey spaces

  • Jamel Benameur EMAIL logo and Lotfi Jlali
From the journal Mathematica Slovaca

Abstract

In this paper, we prove a global well-posedness of the three-dimensional incompressible Navier-Stokes equation under initial data, which belongs to the Lei-Lin-Gevrey space Za,σ1(ℝ3) and if the norm of the initial data in the Lei-Lin space 𝓧−1 is controlled by the viscosity. Moreover, we will show that the norm of this global solution in the Lei-Lin-Gevrey space decays to zero as time approaches to infinity.

MSC 2010: 35-xx; 35Bxx; 35Lxx
  1. (Communicated by Andras Ronto)

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Received: 2019-02-05
Accepted: 2020-01-15
Published Online: 2020-07-24
Published in Print: 2020-08-26

© 2020 Mathematical Institute Slovak Academy of Sciences

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