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

Han Liu, Nader Masmoudi, Cuili Zhai, Weiren Zhao

Research output: Contribution to journalArticlepeer-review

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.

Original languageEnglish (US)
Pages (from-to)1-41
Number of pages41
JournalJournal des Mathematiques Pures et Appliquees
Volume158
DOIs
StatePublished - Feb 2022

Keywords

  • Damping
  • Depletion
  • Flowing plasma
  • MHD

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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