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Quantitative robustness of regularity for 3D Navier-Stokes system in $\dot H^\alpha$-spaces

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arxiv 1409.3485 v2 pith:7HQKYUIS submitted 2014-09-11 math.AP

classification math.AP
keywords alphanavier-stokesquantitativeregularityresultsspacessystemattention
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abstract

We present stability and regularity results for the $3$D incompressible Navier-Stokes system in a periodic box, in $\dot H^\alpha$ spaces, with $\alpha\in\big[{1/2},1\big]$. A special attention is paid to obtaining quantitative results, i.e. ones with explicit or at least computable constants, and to scaling.

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