1. Inviscid limit for the full viscous MHD system with critical axisymmetric initial data.
- Author
-
Maafa, Youssouf and Zerguine, Mohamed
- Subjects
- *
BESOV spaces , *DIFFERENTIAL equations , *INTEGRAL equations , *MATHEMATICS - Abstract
This 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 [Abidi H, Hmidi T, Keraani S. On the global well-posedness for the axisymmetric Euler equations. Math. Ann. 2010;347:15–41.], [Hassainia Z. On the global well-posedness of the 3D axisymmetric resistive MHD equations. Ann. Henri Poincaré. 2022;23:2877-2917], [Hmidi T, Zerguine M. Inviscid limit axisymmetric Navier–Stokes system. Differential and Integral Equations. 2009;22(11–12):1223–1246.]. Furthermore, strong convergence in the resolution spaces with a rate of convergence is also studied. [ABSTRACT FROM AUTHOR]
- Published
- 2023
- Full Text
- View/download PDF