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

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).

Keywords

• double-diffusive convection systems
• blowup criterion
• commutator estimate
• regularity