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On optimal decay rates for weak solutions to the Navier-Stokes equations in $$\mathbb R^n$$. (English) Zbl 0981.35048
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 $\|u(t) \|\geq (t+1)^{-\frac{n+4}{2}}.$

##### MSC:
 35Q30 Navier-Stokes equations 35B40 Asymptotic behavior of solutions to PDEs 35D99 Generalized solutions to partial differential equations
##### Keywords:
decay rates; Navier-Stokes equations
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