Lower bounds for possible singular solutions for the Navier--Stokes and Euler equations revisited

Jean C. Cortissoz, Julio A. Montero

In this paper we give optimal lower bounds for the blow-up rate of the ${\dot{H}}^s\left({\mathbb{T}}^3\right)$-norm, $\frac{1}{2}<s<\frac{5}{2}$, of a putative singular solution of…