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arXiv · 1804.07363

On the Blow up criterion of 3D-Navier-Stokes equation in $\dot H^{5/2}$

Jamel Benameur·Hajer Orf
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Abstract

In this paper, we prove two results about the blow up criterion of the three-dimensional incompressible Navier-Stokes equation in the sobolev space $\dot H^{5/2}$. The first one improves the result of \cite{CZ}. The second deals with the relationship of the blow up in $\dot H^{5/2}$ and some critical spaces. Fourier analysis and standard techniques are used.

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Jamel Benameur, Hajer Orf. 2018-04-19. On the Blow up criterion of 3D-Navier-Stokes equation in $\dot H^{5/2}$. https://doi.org/10.1002/mma.5803

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