抄録
We investigate a limiting uniqueness criterion in terms of the vorticity for the Navier-Stokes equations in the Besov space. We prove that Leray-Hopf’s weak solution is unique under an auxiliary assumption that the vorticity belongs to a scale characterized by the Besov space in space, and the Orlicz space in time direction. As a corollary, we give also the uniqueness criterion in terms of bounded mean oscillation (BMO).
| 本文言語 | English |
|---|---|
| ページ（範囲） | 65-77 |
| ページ数 | 13 |
| ジャーナル | Tohoku Mathematical Journal |
| 巻 | 56 |
| 号 | 1 |
| DOI | |
| 出版ステータス | Published - 2004 |
| 外部発表 | はい |
ASJC Scopus subject areas
- 数学 (全般)