Long-Time Behavior of Alfvén Waves in a Flowing Plasma: Generation of the Magnetic Island

Cuili Zhai, Zhifei Zhang, Weiren Zhao

Research output: Contribution to journalArticlepeer-review

Abstract

Magnetic islands are the regions enclosed by magnetic field lines and separated by reconnection points. In this paper, we study the long-time behavior of the solution for the linearized MHD system around the linearly stable, steady flowing plasma with sheared velocity and magnetic field. As a consequence, we prove that for a class of initial data, the magnetic islands appear at the final state.

Original languageEnglish (US)
Pages (from-to)1317-1394
Number of pages78
JournalArchive for Rational Mechanics and Analysis
Volume242
Issue number3
DOIs
StatePublished - Dec 2021

ASJC Scopus subject areas

  • Analysis
  • Mathematics (miscellaneous)
  • Mechanical Engineering

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