Lower bounds on blowing-up solutions of the 3D Navier--Stokes equations in ${\dot{H}}^{3/2}$, ${\dot{H}}^{5/2}$, and ${\dot{B}}_{2,1}^{5/2}$

David S. McCormick, Eric J. Olson, James C. Robinson +3

If $u$ is a smooth solution of the Navier--Stokes equations on ${\mathbb{R}}^3$ with first blowup time $T$, we prove lower bounds for $u$ in the Sobolev spaces ${\dot{H}}^{3/2}$, $\dot…