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Large time behaviour of solutions to the 3D-NSE in X-sigma spaces
Journal article   Peer reviewed

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

Jamel Benameur and Mariem Bennaceur
Journal of mathematical analysis and applications, Vol.482(2), p.123566
15/02/2020
DOI: https://doi.org/10.1016/j.jmaa.2019.123566

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper we study the incompressible Navier-Stokes equations in L-2(R-9) boolean AND X-1(R-3). In the global existence case, we establish that if the solution u is in the space C(R+, L-2 boolean AND X-1), then for sigma > -3/2 the decay of parallel to u(t)parallel to X-sigma, is at least of the order of t-(2(sigma+3))(/4). Fourier analysis and standard techniques are used. (C) 2019 Elsevier Inc. All rights reserved.

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