English

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

Analysis of PDEs 2022-01-07 v1

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.

Keywords

Cite

@article{arxiv.2201.02168,
  title  = {On the vanishing viscosity limit for the full viscous MHD system with critical axisymmetric initial data},
  author = {Youssouf Maafa and Mohamed Zerguine},
  journal= {arXiv preprint arXiv:2201.02168},
  year   = {2022}
}