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Long time decay to the Lei–Lin solution of 3D Navier–Stokes equations
Journal article   Open access  Peer reviewed

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

Jamel Benameur
Journal of mathematical analysis and applications, Vol.422(1), pp.424-434
01/02/2015
DOI: https://doi.org/10.1016/j.jmaa.2014.08.039

Abstract

Critical spaces Long time decay Navier–Stokes equations
In this paper we prove, if u∈C([0,∞),X−1(R3)) is a global solution of 3D Navier–Stokes equations, then ‖u(t)‖X−1 decays to zero as time goes to infinity. Fourier analysis and standard techniques are used.
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https://doi.org/10.1016/j.jmaa.2014.08.039View
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