The space $B^{-1}_{\infty, \infty}$ , volumetric sparseness, and 3D NSE

preprint2016arXivOpen access

In the context of the $L^\infty$ -theory of the 3D NSE, it is shown that suitable smallness of a solution in Besov space $B^{-1}_{\infty, \infty}$ suffices to prevent a possible blow-up.

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The space $B^{-1}_{\infty, \infty}$ , volumetric sparseness, and 3D NSE

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The space $B^{-1}_{\infty, \infty}$ , volumetric sparseness, and 3D NSE