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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
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