Regularity criteria of axisymmetric weak solutions to the 3D MHD equations

Regularity criteria of axisymmetric weak solutions to the 3D MHD equations

In this paper, we study the conditional regularity of axisymmetric weak solutions to the three-dimensional incompressible magnetohydrodynamic equations with non-zero swirl. Regularity criteria that are scaling invariant and independent of the components of magnetic field are obtained by establishing...

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Veröffentlicht in:Journal of mathematical physics 2021-12, Vol.62 (12)
Hauptverfasser: Guo, Zhengguang, Wang, Yu, Li, Yeping
Format: Artikel
Sprache:eng
Schlagworte:
Criteria
Fluid flow
Magnetohydrodynamic equations
Magnetohydrodynamics
Mathematical analysis
Physics
Regularity
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Zusammenfassung:In this paper, we study the conditional regularity of axisymmetric weak solutions to the three-dimensional incompressible magnetohydrodynamic equations with non-zero swirl. Regularity criteria that are scaling invariant and independent of the components of magnetic field are obtained by establishing some innovative estimates.
ISSN:0022-2488
1089-7658
DOI:10.1063/5.0065523