Global solutions of 2D non-resistive MHD system with constant background magnetic vorticity
arXiv:2310.10914
Abstract
This paper investigates the stabilization effect of a background magnetic vorticity on electrically conducting fluids. By exploring the dissipation nature of the linearized equations, we prove the global existence of smooth solutions to the two-dimensional incompressible viscous and non-resistive MHD system.
21 pages