English

Global solutions of 2D non-resistive MHD system with constant background magnetic vorticity

Analysis of PDEs 2023-11-16 v3

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.

Keywords

Cite

@article{arxiv.2310.10914,
  title  = {Global solutions of 2D non-resistive MHD system with constant background magnetic vorticity},
  author = {Yuanyuan Qiao and Yi Zhou},
  journal= {arXiv preprint arXiv:2310.10914},
  year   = {2023}
}

Comments

21 pages