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arXiv · 1511.08890

Stability properties of the regular set for the Navier--Stokes equation

Renato Lucà·Piero D'Ancona
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Abstract

We investigate the size of the regular set for small perturbations of some classes of strong large solutions to the Navier--Stokes equation. We consider perturbations of the data which are small in suitable weighted $L^{2}$ spaces but can be arbitrarily large in any translation invariant critical Banach space. We give similar results in the small data setting.

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Renato Lucà, Piero D'Ancona. 2017-06-15. Stability properties of the regular set for the Navier--Stokes equation. https://arxiv.org/abs/1511.08890

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