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In 1987, Michael Wiegner in his seminal paper [17] provided an importantresult regarding the energy decay of Leray solutions $\boldsymbol u(\cdot,t)$to the incompressible Navier-Stokes in $\mathbb{R}^{n}$: if the associatedStokes flows had their $\hspace{-0.020cm}L^{2}\hspace{-0.050cm}$ norms boundedby $O(1 + t)^{-\;\!\alpha} $ for some $ 0 < \alpha \leq (n+2)/4 $, then thesame would be true of $ \|\hspace{+0.020cm} \boldsymbol u(\cdot,t)\hspace{+0.020cm} \|_{L^{2}(\mathbb{R}^{n})} $. The converse also holds, asshown by Z.Skal\'ak [15] and by our analysis below, which uses a morestraightforward argument. As an application of these results, we discuss thegenericity problem of algebraic decay estimates for Leray solutions of theunforced Navier-Stokes equations. In particular, we prove that Leray solutionswith algebraic decay generically satisfy two-sided bounds of the form$(1+t)^{-\alpha}\lesssim \| \boldsymbol u(\cdot,t)\|_{L^2(\mathbb{R}^n)}\lesssim (1+t)^{-\alpha}$.

On the topological size of the class of Leray solutions with algebraic decay