Nonlinear self-consistent three-dimensional arcade-like solutions of the magnetohydrostatic equations.

Research output: Contribution to journalArticlepeer-review

21 Citations (Scopus)

Abstract

Exact self-consistent solutions of the magnetohydrostatic equations in three dimensions with a nonlinear relationship between the magnetic field and the current density are presented. The derivation is carried out in Cartesian coordinates including a constant gravitational force pointing into the negative z-direction. Out of several solution classes only one has an arcade-like magnetic field topology. This solution class is investigated further and two examples are shown for specific choices of the free functions and parameters which the solution class has.

Original languageEnglish
Pages (from-to)847-856
Number of pages10
JournalAstronomy & Astrophysics
Volume325
Publication statusPublished - Sept 1997

Keywords

  • magnetohydrodynamics
  • magnetic fields
  • plasmas
  • Sun: magnetic fields
  • Sun: corona
  • stars: magnetic fields
  • ELECTRIC-CURRENT SYSTEMS
  • MAGNETOSTATIC ATMOSPHERES
  • 3-DIMENSIONAL STRUCTURES
  • MAGNETOHYDRODYNAMIC EQUILIBRIA
  • MAGNETOTAIL THEORY
  • FIELD LINES
  • FORCE

Fingerprint

Dive into the research topics of 'Nonlinear self-consistent three-dimensional arcade-like solutions of the magnetohydrostatic equations.'. Together they form a unique fingerprint.

Cite this