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

Authors :
Bae, Hantaek
Source :
Proceedings of the American Mathematical Society. Oct2021, Vol. 149 Issue 10, p4379-4385. 7p.
Publication Year :
2021

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00029939
Volume :
149
Issue :
10
Database :
Academic Search Index
Journal :
Proceedings of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
152160835
Full Text :
https://doi.org/10.1090/proc/15524