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

2022/01/06 by Youssouf Maafa, Maafa, Youssouf, Mohamed Zerguine +1
Mathematics · #35B07 #35B33 #35Q35 #76D05 #76W05 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.2201.02168

openalex publication_date 2022/01/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 \citeAKH,Hassainia,hz0. Furthermore, strong convergence in the resolution spaces with a rate of convergence is also studied.

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