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arXiv:2102.03244 [math.AP]AbstractReferencesReviewsResources

Typicality results for weak solutions of the incompressible Navier--Stokes equations

Maria Colombo, Luigi De Rosa, Massimo Sorella

Published 2021-02-05Version 1

In this work we show that, in the class of $L^\infty((0,T);L^2(\mathbb{T}^3))$ distributional solutions of the incompressible Navier-Stokes system, the ones which are smooth in some open interval of times are meagre in the sense of Baire category, and the Leray ones are a nowhere dense set.

Comments: 20 pages
Categories: math.AP
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