Stability properties of the regular set for the Navier--Stokes equation
01 Pubblicazione su rivista
D'Ancona Piero, Lucà Renato
ISSN: 1422-6928
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 that are small in suitable weighted L2 spaces but can be
arbitrarily large in any translation invariant Banach space. We give similar results in the small data setting.