Stability properties of the regular set for the Navier--Stokes equation
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 L2 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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