Electronic Journal of Differential Equations, Vol. 2025 (2025), No. 68, pp. 1-15.

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

Author: Zhaojun Xing (Nanjing Univ. of Information Science and Tech., Nanjing, China)

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 07, 2025
Math Subject Classifications: 35Q35, 76D03, 35B07.
Key Words: MHD-Boussinesq; axially symmetric; regularity criterion; inviscid limit.