Extension criterion via two-components of vorticity on strong solutions to the 3 D Navier-Stokes equations

Hideo Kozono*, Naoki Yatsu

*この研究の対応する著者

研究成果: Article査読

33 被引用数 (Scopus)

抄録

We shall show that only two components of vorticity play an essential role to determine possibility of extension of the time interval for the local strong solution to the Navier-Stokes equations. Then we shall apply our extension theorem to regularity criterion on weak solutions due to Serrin and Beirão da Veiga. Chae-Choe proved the same criterion as Beirão da Veiga only by means of the two-components of vorticity. We deal with the critical case which they excluded. Our criterion may be regarded as the generalization of the result of Beal-Kato-Majda from L to B M O.

本文言語English
ページ(範囲)55-68
ページ数14
ジャーナルMathematische Zeitschrift
246
1-2
DOI
出版ステータスPublished - 2004 1 1
外部発表はい

ASJC Scopus subject areas

  • 数学 (全般)

フィンガープリント

「Extension criterion via two-components of vorticity on strong solutions to the 3 D Navier-Stokes equations」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル