# Article

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Keywords:
decay rates; Navier-Stokes equations
Summary:
This paper is concerned with optimal lower bounds of decay rates for solutions to the Navier-Stokes equations in $\mathbb{R}^n$. Necessary and sufficient conditions are given such that the corresponding Navier-Stokes solutions are shown to satisfy the algebraic bound $\Vert u(t) \Vert \ge (t+1)^{-\frac{n+4}{2}}.$
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