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In this paper, we prove that if $u\in C([0,\infty),\dot{H}^{1/2}_{a,1}(\mathbb{R}^3))$ is a global solution of 3D incompressibleNavier-Stokes equations, then $\|u\|_{\dot{H}^{1/2}_{a,1}}$ decays to zero astime approaches infinity. Fourier analysis and standard techniques are used.

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