The BKM criterion to the 3D double-diffusive magneto convection systems involving planar components

Autor: Chol-Jun O, Fan Wu
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Mathematical Modelling and Analysis, Vol 29, Iss 4 (2024)
Druh dokumentu: article
ISSN: 1392-6292
1648-3510
DOI: 10.3846/mma.2024.19674
Popis: 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).
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