Equations for thin flux tubes in ideal MHD

Details Equations for thin flux tubes in ideal MHD Equations for thin flux tubes in ideal MHD

Sep 1981

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981a%26a...102..129s&link_type=abstract

Astronomy and Astrophysics, vol. 102, no. 1, Sept. 1981, p. 129-133.

Astronomy and Astrophysics

Astrophysics

65

Dynamo Theory, Equations Of Motion, Magnetic Flux, Magnetohydrodynamic Stability, Magnetohydrodynamic Turbulence, Continuity Equation, Hamiltonian Functions, Lorentz Force, Magnetohydrodynamic Waves

Scientific paper

A Hamilton-Lagrange formalism is used to derive the equation of motion for an isolated magnetic flux tube embedded in a static gravitating fluid. An equation of motion is derived from the Lagrangian density, and a procedure analogous to that in Berstein et al. (1958) is used to show that a system of non-interacting flux tubes has a self-adjoint force operator so that the system is either stable or monotonically unstable.

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