On smoothness of suitable weak solutions to the navier-stokes equations

G. Seregin; V. Sverak

doi:10.1007/s10958-005-0383-9

On smoothness of suitable weak solutions to the navier-stokes equations

G. Seregin, V. Sverak

School of Mathematics

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

6 Scopus citations

Abstract

We prove two sufficient conditions for local regularity of suitable weak solutions to the three-dimensional Navier-Stokes equations. One of these conditions implies the smoothness of L_3,∞-solutions as a particular case.

Original language	English (US)
Pages (from-to)	4884-4892
Number of pages	9
Journal	Journal of Mathematical Sciences
Volume	130
Issue number	4
DOIs	https://doi.org/10.1007/s10958-005-0383-9
State	Published - Oct 2005

Publisher link

10.1007/s10958-005-0383-9

Find It

Find It at U of M Libraries

Cite this

@article{9313c92271aa4f43b93ab62158eb60c2,

title = "On smoothness of suitable weak solutions to the navier-stokes equations",

abstract = "We prove two sufficient conditions for local regularity of suitable weak solutions to the three-dimensional Navier-Stokes equations. One of these conditions implies the smoothness of L3,∞-solutions as a particular case.",

author = "G. Seregin and V. Sverak",

year = "2005",

month = oct,

doi = "10.1007/s10958-005-0383-9",

language = "English (US)",

volume = "130",

pages = "4884--4892",

journal = "Journal of Mathematical Sciences",

issn = "1072-3374",

publisher = "Springer Science and Business Media Deutschland GmbH",

number = "4",

}

TY - JOUR

T1 - On smoothness of suitable weak solutions to the navier-stokes equations

AU - Seregin, G.

AU - Sverak, V.

PY - 2005/10

Y1 - 2005/10

N2 - We prove two sufficient conditions for local regularity of suitable weak solutions to the three-dimensional Navier-Stokes equations. One of these conditions implies the smoothness of L3,∞-solutions as a particular case.

AB - We prove two sufficient conditions for local regularity of suitable weak solutions to the three-dimensional Navier-Stokes equations. One of these conditions implies the smoothness of L3,∞-solutions as a particular case.

UR - http://www.scopus.com/inward/record.url?scp=24944480825&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=24944480825&partnerID=8YFLogxK

U2 - 10.1007/s10958-005-0383-9

DO - 10.1007/s10958-005-0383-9

M3 - Article

AN - SCOPUS:24944480825

VL - 130

SP - 4884

EP - 4892

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 4

ER -

On smoothness of suitable weak solutions to the navier-stokes equations

Abstract

Publisher link

Find It

Other files and links

Fingerprint

Cite this