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arXiv · 1409.3485

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

Jan Burczak·Wojciech M. Zajączkowski
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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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Jan Burczak, Wojciech M. Zajączkowski. 2014-09-11. Quantitative robustness of regularity for 3D Navier-Stokes system in $\dot H^\alpha$-spaces. https://doi.org/10.1016/j.nonrwa.2016.03.001

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