On type I singularities of the local axi-symmetric solutions of the Navier-Stokes equations

G. Seregin; V. Šverák

doi:10.1080/03605300802683687

On type I singularities of the local axi-symmetric solutions of the Navier-Stokes equations

G. Seregin
, V. Šverák

School of Mathematics

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

75 Scopus citations

Abstract

Local regularity of axially symmetric solutions to the Navier-Stokes equations is studied. It is shown that under certain natural assumptions there are no singularities of Type I.

Original language	English (US)
Pages (from-to)	171-201
Number of pages	31
Journal	Communications in Partial Differential Equations
Volume	34
Issue number	2
DOIs	https://doi.org/10.1080/03605300802683687
State	Published - Feb 2009

Bibliographical note

Funding Information:
G. Seregin was supported in part by the RFFI grant 08-01-00372-a. V. Šverák was supported in part by NSF Grant DMS-0457061.

Keywords

Axial symmetry
Navier-Stokes equations
Regularity

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10.1080/03605300802683687

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title = "On type I singularities of the local axi-symmetric solutions of the Navier-Stokes equations",

abstract = "Local regularity of axially symmetric solutions to the Navier-Stokes equations is studied. It is shown that under certain natural assumptions there are no singularities of Type I.",

keywords = "Axial symmetry, Navier-Stokes equations, Regularity",

author = "G. Seregin and V. {\v S}ver{\'a}k",

note = "Funding Information: G. Seregin was supported in part by the RFFI grant 08-01-00372-a. V. {\v S}ver{\'a}k was supported in part by NSF Grant DMS-0457061.",

year = "2009",

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volume = "34",

pages = "171--201",

journal = "Communications in Partial Differential Equations",

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AU - Seregin, G.

AU - Šverák, V.

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N2 - Local regularity of axially symmetric solutions to the Navier-Stokes equations is studied. It is shown that under certain natural assumptions there are no singularities of Type I.

AB - Local regularity of axially symmetric solutions to the Navier-Stokes equations is studied. It is shown that under certain natural assumptions there are no singularities of Type I.

KW - Axial symmetry

KW - Navier-Stokes equations

KW - Regularity

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UR - https://www.scopus.com/pages/publications/69149087733#tab=citedBy

U2 - 10.1080/03605300802683687

DO - 10.1080/03605300802683687

M3 - Article

AN - SCOPUS:69149087733

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JO - Communications in Partial Differential Equations

JF - Communications in Partial Differential Equations

IS - 2

ER -

On type I singularities of the local axi-symmetric solutions of the Navier-Stokes equations

Abstract

Bibliographical note

Keywords

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