Small $\dot B^{-1}_{\infty,\infty}$ implies regularity

preprint2016arXivOpen access

We show that smallness of $\dot B^{-1}_{\infty,\infty}$ norm of solution to $d$ -dimensional ( $d\ge 3$ ) incompressible Navier-Stokes prevents blowups.

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Small $\dot B^{-1}_{\infty,\infty}$ implies regularity

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Small B˙∞,∞−1\dot B^{-1}_{\infty,\infty}B˙∞,∞−1​ implies regularity

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Small $\dot B^{-1}_{\infty,\infty}$ implies regularity