Geodesic
On optimal decay rates for weak solutions to the Navier-Stokes equations in $R^n$
Mathematica Bohemica, Tome 126 (2001) no. 2, pp. 443-455

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MR Zbl
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 \[ \Vert u(t) \Vert \ge (t+1)^{-\frac{n+4}{2}}. \]
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 \[ \Vert u(t) \Vert \ge (t+1)^{-\frac{n+4}{2}}. \]
DOI : 10.21136/MB.2001.134008
Classification : 35B40, 35B45, 35D99, 35Q10, 35Q30, 76D05
Keywords: decay rates; Navier-Stokes equations 
Miyakawa, Tetsuro; Schonbek, Maria Elena. On optimal decay rates for weak solutions to the Navier-Stokes equations in $R^n$. Mathematica Bohemica, Tome 126 (2001) no. 2, pp. 443-455. doi: 10.21136/MB.2001.134008
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