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The BKM Criterion to the 3D Double-Diffusive Magneto Convection Systems Involving Planar Components.

Authors :
Chol-Jun O.
Fan Wu
Source :
Mathematical Modelling & Analysis. 2024, Vol. 29 Issue 4, p684-693. 10p.
Publication Year :
2024

Abstract

In this paper, we investigate the BKM type blowup criterion applied to 3D double-diffusive magneto convection systems. Specifically, we demonstrate that a unique local strong solution does not experience blow-up at time T, given that ... . To prove this, we employ the logarithmic Sobolev inequality in the Besov spaces with negative indices and a well-known commutator estimate established by Kato and Ponce. This result is the further improvement and extension of the previous works by O (2021) and Wu (2023). [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
13926292
Volume :
29
Issue :
4
Database :
Academic Search Index
Journal :
Mathematical Modelling & Analysis
Publication Type :
Academic Journal
Accession number :
181326333
Full Text :
https://doi.org/10.3846/mma.2024.19674