On the vanishing viscosity limit for the full viscous MHD system with critical axisymmetric initial data

Youssouf Maafa; Mohamed Zerguine

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arXiv · 2201.02168

On the vanishing viscosity limit for the full viscous MHD system with critical axisymmetric initial data

Youssouf Maafa·Mohamed Zerguine

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Abstract

The current paper establishes the global well-posedness issue for the full viscous MHD equations in the axisymmetric setting. Global solutions are obtained in critical Besov spaces uniformly to the viscosity when the resistivity is fixed in the spirit of \cite{AKH,Hassainia,hz0}. Furthermore, strong convergence in the resolution spaces with a rate of convergence is also studied.

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Youssouf Maafa, Mohamed Zerguine. 2022-01-06. On the vanishing viscosity limit for the full viscous MHD system with critical axisymmetric initial data. https://arxiv.org/abs/2201.02168

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