Long time decay for global solutions to the Navier-Stokes equations in Sobolev-Gevery spaces

Hajer Orf

In this paper, we prove that if $u\in C([0,\infty ),{\dot{H}}_{a,1}^{1/2}({\mathbb{R}}^3))$ is a global solution of 3D incompressible Navier-Stokes equations, then $\|u\|_{\dot{H}^{1/2…