A necessary condition of potential blowup for the Navier-Stokes system in half-space

Tobias Barker, Gregory Seregin

Research output: Contribution to journalArticlepeer-review

15 Citations (SciVal)

Abstract

Assuming that T is a potential blow up time for the Navier–Stokes system in R3+, we show that the norm of the velocity field in the Lorenz space L3,q with q<∞ goes to ∞ as time t approaches T.
Original languageEnglish
Pages (from-to)1327–1352
JournalMathematische Annalen
Volume639
DOIs
Publication statusPublished - 31 Oct 2016

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