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Sharper bounds on the box-counting dimension of the singularities in the hyperdissipative Navier-Stokes equations
Preprint
28 November 2022
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Abstract
We improve the upper bound on the box-counting dimension of the set of potential singular points in the suitable weak solutions to the \(\alpha\)-fractional Navier-Stokes equations for the hyperdissipation case \(1<\alpha<\frac{5}{4}\).