On the regularity criterion of weak solution for the 3D viscous Magneto-hydrodynamics equations
Qionglei Chen, Changxing Miao, Zhifei Zhang
TL;DR
This paper enhances the understanding of regularity conditions for weak solutions of 3D viscous Magneto-hydrodynamics equations using advanced mathematical techniques.
Contribution
It introduces improved regularity criteria leveraging Fourier localization and Bony's para-product decomposition for the MHD equations.
Findings
New regularity criteria established for weak solutions.
Extension of known conditions to broader solution classes.
Application of Fourier and para-product techniques to MHD equations.
Abstract
We improve and extend some known regularity criterion of weak solution for the 3D viscous Magneto-hydrodynamics equations by means of the Fourier localization technique and Bony's para-product decomposition.
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