Bilinear estimates in BMO and the Navier-Stokes equations

Hideo Kozono; Yasushi Taniuchi

doi:10.1007/s002090000130

Bilinear estimates in BMO and the Navier-Stokes equations

Hideo Kozono, Yasushi Taniuchi

Mathematical Science Center for Co-creative Society (MathCCS)

Research output: Contribution to journal › Article › peer-review

200 Citations (Scopus)

Abstract

We prove that the BMO norm of the velocity and the vorticity controls the blow-up phenomena of smooth solutions to the Navier-Stokes equations. Our result is applied to the criterion on uniqueness and regularity of weak solutions in the marginal class.

Original language	English
Pages (from-to)	173-194
Number of pages	22
Journal	Mathematische Zeitschrift
Volume	235
Issue number	1
DOIs	https://doi.org/10.1007/s002090000130
Publication status	Published - 2000 Sept

Access to Document

10.1007/s002090000130

Cite this

@article{33675b69042f4e1db376c5c782271f03,

title = "Bilinear estimates in BMO and the Navier-Stokes equations",

abstract = "We prove that the BMO norm of the velocity and the vorticity controls the blow-up phenomena of smooth solutions to the Navier-Stokes equations. Our result is applied to the criterion on uniqueness and regularity of weak solutions in the marginal class.",

author = "Hideo Kozono and Yasushi Taniuchi",

year = "2000",

month = sep,

doi = "10.1007/s002090000130",

language = "English",

volume = "235",

pages = "173--194",

journal = "Mathematische Zeitschrift",

issn = "0025-5874",

publisher = "Springer New York",

number = "1",

}

TY - JOUR

T1 - Bilinear estimates in BMO and the Navier-Stokes equations

AU - Kozono, Hideo

AU - Taniuchi, Yasushi

PY - 2000/9

Y1 - 2000/9

N2 - We prove that the BMO norm of the velocity and the vorticity controls the blow-up phenomena of smooth solutions to the Navier-Stokes equations. Our result is applied to the criterion on uniqueness and regularity of weak solutions in the marginal class.

AB - We prove that the BMO norm of the velocity and the vorticity controls the blow-up phenomena of smooth solutions to the Navier-Stokes equations. Our result is applied to the criterion on uniqueness and regularity of weak solutions in the marginal class.

UR - http://www.scopus.com/inward/record.url?scp=0034389838&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0034389838&partnerID=8YFLogxK

U2 - 10.1007/s002090000130

DO - 10.1007/s002090000130

M3 - Article

AN - SCOPUS:0034389838

SN - 0025-5874

VL - 235

SP - 173

EP - 194

JO - Mathematische Zeitschrift

JF - Mathematische Zeitschrift

IS - 1

ER -

Bilinear estimates in BMO and the Navier-Stokes equations

Abstract

Access to Document

Other files and links

Fingerprint

Cite this