Regularity of solutions to the Navier-Stokes equation

Dongho Chae, Hi Jun Choe

Research output: Contribution to journalArticle

72 Citations (Scopus)

Abstract

Recently, Beirão da Veiga [15] obtained regularity for the Navier-Stokes equation in R3 by imposing conditions on the vorticity rather than the velocity. In this article, we obtain regularity by imposing conditions on only two components of the vorticity vector.

Original languageEnglish
Pages (from-to)1-7
Number of pages7
JournalElectronic Journal of Differential Equations
Volume1999
Publication statusPublished - 1999 Feb 28

Fingerprint

Regularity of Solutions
Vorticity
Navier-Stokes Equations
Regularity

All Science Journal Classification (ASJC) codes

  • Analysis

Cite this

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title = "Regularity of solutions to the Navier-Stokes equation",
abstract = "Recently, Beir{\~a}o da Veiga [15] obtained regularity for the Navier-Stokes equation in R3 by imposing conditions on the vorticity rather than the velocity. In this article, we obtain regularity by imposing conditions on only two components of the vorticity vector.",
author = "Dongho Chae and Choe, {Hi Jun}",
year = "1999",
month = "2",
day = "28",
language = "English",
volume = "1999",
pages = "1--7",
journal = "Electronic Journal of Differential Equations",
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publisher = "Texas State University - San Marcos",

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Regularity of solutions to the Navier-Stokes equation. / Chae, Dongho; Choe, Hi Jun.

In: Electronic Journal of Differential Equations, Vol. 1999, 28.02.1999, p. 1-7.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Regularity of solutions to the Navier-Stokes equation

AU - Chae, Dongho

AU - Choe, Hi Jun

PY - 1999/2/28

Y1 - 1999/2/28

N2 - Recently, Beirão da Veiga [15] obtained regularity for the Navier-Stokes equation in R3 by imposing conditions on the vorticity rather than the velocity. In this article, we obtain regularity by imposing conditions on only two components of the vorticity vector.

AB - Recently, Beirão da Veiga [15] obtained regularity for the Navier-Stokes equation in R3 by imposing conditions on the vorticity rather than the velocity. In this article, we obtain regularity by imposing conditions on only two components of the vorticity vector.

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JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

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