Work

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

Year: 2024

Type: article

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 $(\nabla_{h}\tilde{u}, \nabla_{h}\tilde{b})\in L^2(0,T;\dot{B}^{-1}_{\infty,\infty})$. 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).

Source: Mathematical Modelling and Analysis

DOI: 10.3846/mma.2024.19674

Authors: Chol-Jun O, Fan Wu

Institutions: Jiangxi University of Water Resources and Electric Power, Nanchang Institute of Technology

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Education Department of Jiangxi Province, Nanchang Institute of Technology

Awards: G447225155, G6571966680, G8117639706