Bilinear estimates in homogeneous Triebel‐Lizorkin spaces and the Navier‐Stokes equations

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The Navier-Stokes equations and weak Herz spaces (2011, background): “Such a problem was considered by Beale, Kato and Majda [3], Giga [12], Kozono and Taniuchi [29], Kozono, Ogawa and Taniuchi [27] and Kozono and Shimada [28].”
On regularity criteria for weak solutions to the micropolar fluid equations in Lorentz space (2010, background): “Later, many improvements and extensions were established; for example, see [15, 13, 14, 32] and the references therein.”
Logarithmically improved regularity criterion for the Boussinesq equations in Besov spaces with negative indices (2016, methodology): “2 improves the main result of Kozono and Shimada [35].”