Renato Lucà, Piero D'Ancona
Published 2015-11-28Version 1
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.
A blow up solution of the Navier-Stokes equations with a critical force
Exact solutions to the Navier-Stokes equation for an incompressible flow from the interpretation of the Schroedinger wave function
Well-posedness and global in time behavior for mild solutions to the Navier-Stokes equation on the hyperbolic space with initial data in $L^p$
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