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.
Stability properties of the regular set for the Navier--Stokes equation / D'Ancona, Piero; Lucà, Renato. - In: JOURNAL OF MATHEMATICAL FLUID MECHANICS. - ISSN 1422-6928. - STAMPA. - 20:(2018), pp. 819-852. [10.1007/s00021-017-0349-y]
Stability properties of the regular set for the Navier--Stokes equation
D'Ancona, Piero
Investigation
;Lucà, Renato
Investigation
2018
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 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.File allegati a questo prodotto
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