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

Tobias Barker; Gregory Seregin

doi:10.1007/s00208-016-1488-9

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

Tobias Barker, Gregory Seregin

Department of Mathematical Sciences

University of Oxford

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	1327–1352
Journal	Mathematische Annalen
Volume	639
DOIs	https://doi.org/10.1007/s00208-016-1488-9
Publication status	Published - 31 Oct 2016

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title = "A necessary condition of potential blowup for the Navier-Stokes system in half-space",

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.",

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T1 - A necessary condition of potential blowup for the Navier-Stokes system in half-space

AU - Barker, Tobias

AU - Seregin, Gregory

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Y1 - 2016/10/31

N2 - 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.

AB - 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.

U2 - 10.1007/s00208-016-1488-9

DO - 10.1007/s00208-016-1488-9

M3 - Article

SN - 0025-5831

VL - 639

SP - 1327

EP - 1352

JO - Mathematische Annalen

JF - Mathematische Annalen

ER -

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

Abstract

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