Electron. J. Differential Equations, Vol. 2025 (2025), No. 68, pp. 1-15.

Single-component regularity criterion and inviscid limit for axially symmetric MHD-Boussinesq systems

Zhaojun Xing

Abstract:
In this article, we give a critical BKM-type blow-up criterion that only involves the horizontal swirl component of the velocity for inviscid axially symmetric MHD-Boussinesq systems. We consider the inviscid limit for viscous MHD-Boussinesq systems, and the convergence rate as the viscosity coefficient tending to zero.

Submitted January 5, 2025. Published July 7, 2025
Math Subject Classifications: 35Q35, 76D03, 35B07.
Key Words: MHD-Boussinesq; axially symmetric; regularity criterion; inviscid limit.
DOI: 10.58997/ejde.2025.68

Show me the PDF file (416 KB), TEX file for this article.

Zhaojun Xing
School of Mathematics and Statistics
Nanjing University of Information Science and Technology
Nanjing 210044, China
email: zhaojunxing@nuist.edu.cn

Return to the EJDE web page