English

Linear damping and depletion in flowing plasma with strong sheared magnetic fields

Analysis of PDEs 2021-03-29 v1 Fluid Dynamics Plasma Physics

Abstract

In this paper, we study the long-time behavior of the solution for the linearized ideal MHD around sheared velocity and magnetic field under Stern stability condition. We prove that the velocity and magnetic field will converge to sheared velocity and magnetic field as time approaches infinity. Moreover a new depletion phenomenon is proved: the horizontal velocity and magnetic field at the critical points will decay to 0 as time approaches infinity.

Keywords

Cite

@article{arxiv.2103.14614,
  title  = {Linear damping and depletion in flowing plasma with strong sheared magnetic fields},
  author = {Han Liu and Nader Masmoudi and Cuili Zhai and Weiren Zhao},
  journal= {arXiv preprint arXiv:2103.14614},
  year   = {2021}
}