On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on ${\mathbb{R}}^3$

Sauli Lindberg

Let $r,s\in [2,\infty ]$ and consider the Navier-Stokes equations on ${\mathbb{R}}^3$. We study the following two questions for suitable $s$-homogeneous Banach spaces $X \subset \mat…