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Bae, Hantaek
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Blow-up conditions of the incompressible Navier-Stokes equations in terms of sequentially defined Besov spaces

Author(s)
Bae, Hantaek
Issued Date
2021-10
DOI
10.1090/proc/15524
URI
https://scholarworks.unist.ac.kr/handle/201301/52667
Fulltext
https://www.ams.org/journals/proc/2021-149-10/S0002-9939-2021-15524-X/
Citation
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, v.149, no.10, pp.4379 - 4385
Abstract
In this paper, we introduce sequentially defined Besov spaces adapted to the scaling invariant property of the 3D incompressible Navier-Stokes equations. We first show that these spaces are Banach spaces. We then establish regularity conditions in these spaces.
Publisher
AMER MATHEMATICAL SOC
ISSN
0002-9939
Keyword (Author)
Navier-Stokes equationssequentially dened Besov spacesblow-up condition
Keyword
ILL-POSEDNESS

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