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arXiv · 2503.12411

A single-component regularity criterion and Inviscid limit of axially symmetric MHD-Boussinesq system

Zhaojun Xing
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Abstract

In this paper, we first give a critical BKM-type blow-up criterion that only involves the horizontal swirl component of the velocity for the inviscid axially symmetric MHD-Boussinesq system. Moreover, we consider the inviscid limit of the viscous MHD-Boussinesq system, and the convergence rate for the viscosity coefficient tending to zero is obtained.

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Zhaojun Xing. 2025-03-16. A single-component regularity criterion and Inviscid limit of axially symmetric MHD-Boussinesq system. https://arxiv.org/abs/2503.12411

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