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Hokkaido University Preprint Series in Mathematics >
Continuous alignment of vorticity direction prevents the blow-up of the navier-stokes flow under the no-slip boundary condition
| Title: | Continuous alignment of vorticity direction prevents the blow-up of the navier-stokes flow under the no-slip boundary condition |
| Authors: | Giga, Yoshikazu Browse this author | | Gu, Zhongyang Browse this author | | Hsu, Pen-yuan Browse this author |
| Keywords: | Vorticity direction | | L∞ theory | | Liouville type theorem |
| Issue Date: | 24-Apr-2019 |
| Publisher: | Department of Mathematics, Hokkaido University |
| Journal Title: | Hokkaido University Preprint Series in Mathematics |
| Volume: | 1125 |
| Start Page: | 1 |
| End Page: | 12 |
| Abstract: | This paper is concerned with a regularity criterion based on vorticity direction for Navier-Stokes equations in a three-dimensional bounded domain under the no-slip boundary condition. It asserts that if the vorticity direction is uniformly continuous in space uniformly in time, there is no type I blow-up. A similar result has been proved for a half space by Y. Maekawa and the rst and the last authors (2014). The result of this paper is its natural but non-trivial extension based on L∞ theory of the Stokes and the Navier-Stokes equations recently developed by K. Abe and the rst author. |
| Type: | bulletin (article) |
| URI: | http://hdl.handle.net/2115/73710 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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