For Baire generic L^2 data, 3D Navier-Stokes weak solutions fail to belong to supercritical L^r(0,∞;L^s) spaces, and the critical Besov threshold is equivalent to a scaling-matched a priori viscosity bound.
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On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$
For Baire generic L^2 data, 3D Navier-Stokes weak solutions fail to belong to supercritical L^r(0,∞;L^s) spaces, and the critical Besov threshold is equivalent to a scaling-matched a priori viscosity bound.