A Remark on the Blow-up Criterion of Strong Solutions and Regularity for Weak Solutions of Navier-Stokes Equations

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Abstract

IWe give blow-up criteria of strong solutions of Navier-Stokes equations with its initial data in Besov spaces and consider the regularity of Leray-Hopf solutions of the equation.

Keywords:

Naiver-Stokes equations;blow-up;Littlewood-Paley decomposition;Leray-Hopf weak solution;Besov space
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A Remark on the Blow-up Criterion of Strong Solutions and Regularity for Weak Solutions of Navier-Stokes Equations. (2008). Journal of Partial Differential Equations, 21(3), 208-220. https://global-sci.com/index.php/jpde/article/view/4119