A class of accelerated solutions of the two-dimensional ideal Magnetohydrodynamic equations

Thomas Neukirch, DLG Cheung

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)

Abstract

A particular class of exact solutions of the two-dimensional time-dependent magnetohydrodynamic equations for an ideal isothermal plasma is presented. The associated flows have non-vanishing acceleration. A special form of the mapping between Eulerian and Lagrangian coordinates is assumed and the acceleration term has to have the form of a potential force. The class of potentials compatible with these assumptions is derived and the constraints imposed by the vanishing resistivity then lead to a restriction of the admissible flow fields. Some explicit solutions are constructed and their properties are investigated.

Original languageEnglish
Pages (from-to)2547-2566
Number of pages20
JournalProceedings of the Royal Society A - Mathematical, Physical & Engineering Sciences
Volume457
Issue number2015
DOIs
Publication statusPublished - 8 Nov 2001

Keywords

  • conducting fluids
  • plasma
  • magnetohydrodynamics
  • self-similar solutions
  • plasma flow
  • TIME-DEPENDENT SOLUTIONS
  • SIMILARITY SOLUTIONS
  • MHD EQUATIONS
  • EQUILIBRIA
  • MODEL
  • FIELD
  • WINDS
  • JETS

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