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

Author: 

Barker, T
Seregin, G

Publication Date: 

December 2017

Journal: 

MATHEMATISCHE ANNALEN

Last Updated: 

2020-07-19T22:42:59.9+01:00

Issue: 

3-4

Volume: 

369

DOI: 

10.1007/s00208-016-1488-9

page: 

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.

Symplectic id: 

661365

Download URL: 

Submitted to ORA: 

Submitted

Publication Type: 

Journal Article