Long time decay to the Lei-Lin solution of 3D Navier-Stokes equations

2013/12/07 by Benameur, Jamel
#35-xx #35Bxx #35Lxx #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1312.2136

Abstract

In this paper we prove, if u∈\mathcal C([0,∞),\bf \mathcal X^-1(\mathbb R³)) is global solution of 3D Navier-Stokes equations, then ‖u(t)‖_\bf \mathcal X^-1 decays to zero as time goes to infinity. Fourier analysis and standard techniques are used.

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