Linear damping of Alfvén waves by phase mixing

Siqi Ren, Weiren Zhao

Research output: Contribution to journalArticlepeer-review


In this paper, we give a rigorous proof of the damping of the velocity and magnetic field for the linearized MHD equations around strictly monotone positive magnetic field Bs = (b(y), 0) in a finite channel. Such damping was predicted by Tatarouis and Grossmann [Proceedings of the 2nd Topical Conference on Pulsed High-Beta Plasmas, 1972, IPP Report 1/127], due to their observation of phase mixing phenomena.

Original languageEnglish (US)
Pages (from-to)2101-2137
Number of pages37
JournalSIAM Journal on Mathematical Analysis
Issue number3
StatePublished - 2017


  • Alfvén waves
  • Incompressible MHD equations
  • Linear damping

ASJC Scopus subject areas

  • Analysis
  • Computational Mathematics
  • Applied Mathematics


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