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On the blow-up criterion of 3D Navier-Stokes equation in H?5/2
Journal article   Peer reviewed

On the blow-up criterion of 3D Navier-Stokes equation in H?5/2

Jamel Benameur and Hajer Orf
Mathematical methods in the applied sciences, Vol.42(18), pp.6972-6986
01/12/2019
DOI: https://doi.org/10.1002/mma.5803

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we prove two results about the blow-up criterion of the three-dimensional incompressible Navier-Stokes equation in the Sobolev space H?5/2. The first one improves the result of Cortissoz et al. The second deals with the relationship of the blow up in H?5/2 and some critical spaces. Fourier analysis and standard techniques are used.

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