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 |
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ページ(範囲) | 55-68 |
ページ数 | 14 |
ジャーナル | Mathematische Zeitschrift |
巻 | 246 |
号 | 1-2 |
DOI | |
出版ステータス | Published - 2004 1月 1 |
外部発表 | はい |
ASJC Scopus subject areas
- 数学 (全般)