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Global well posedness of 3D-NSE in Fourier-Lei-Lin spaces
Journal article   Peer reviewed

Global well posedness of 3D-NSE in Fourier-Lei-Lin spaces

Lotfi Jlali
Mathematical methods in the applied sciences, Vol.40(7), pp.2713-2736
15/05/2017
DOI: https://doi.org/10.1002/mma.4193

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we prove a global well posedness of the three-dimensional incompressible Navier-Stokes equation under an initial data, which belong to the non-homogeneous Fourier-Lei-Lin space X-1,sigma for sigma-1 and if the norm of the initial data in the Lei-Lin space X-1 is controlled by the viscosity. Copyright (c) 2016 John Wiley & Sons, Ltd.

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