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

Barker, T
Seregin, G

December 2017

## Journal:

MATHEMATISCHE ANNALEN

## Last Updated:

2021-07-06T15:31:44.297+01:00

3-4

369

## DOI:

10.1007/s00208-016-1488-9

1327-1352

## abstract:

© 2016, The Author(s). Assuming that T is a potential blow up time for the Navier–Stokes system in R+3, we show that the norm of the velocity field in the Lorenz space L 3 , q with q < ∞ goes to ∞ as time t approaches T.

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