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In this talk we will present blow-up rates for possible singular solutions
to the Navier-Stokes equations in the homogeneous Sobolev spaces
$\dot{H}^{\frac{3}{2}}\left(X\right)$ and $\dot{H}^{\frac{5}{2}}\left(X\right)$, where
$X=\mathbb{T}^3$, the 3-dimensional torus, or $X=\mathbb{R}^3$. |
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