Local Regularity of Suitable Weak Solutions to the Navier—Stokes Equations Near the Boundary

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Interior Regularity Criteria for Suitable Weak Solutions of the Navier-Stokes Equations (2006, methodology): “Next, we define several scaling-invariant functionals similar to those in [2, 18, 16, 27].”
On the Finite‐Time Blowup of a One‐Dimensional Model for the Three‐Dimensional Axisymmetric Euler Equations (2017, background): “In the presence of viscosity the scenario of singularity formation discussed here can be ruled out, due to well-known regularity criteria for the Navier-Stokes equations near boundaries, such as [25] or [16].”
On smoothness of L3,∞-solutions to the Navier–Stokes equations up to boundary (2005, methodology): “Remark 2.3 Lemma 2.2 was proved in [ 13 ], see Lemma 7.2 there.”
L3,∞-solutions of the Navier-Stokes equations and backward uniqueness (2003, background): “22), we decompose the pressure q in such a way (see [35]–[37]) that q = q 1 + q k 2 , (2.”
TEMPORAL AND SPATIAL DECAY RATES OF NAVIER-STOKES SOLUTIONS IN EXTERIOR DOMAINS (2007, background): “Suitable weak solutions We consider suitable weak solutions for our estimates, and for the definition we refer to [14] or [30].”