Abstract
We study the relaxation of a compressible plasma to an equilibrium with flow. The constraints of conservation of mass, energy, angular momentum, cross-helicity and relative magnetic helicity are imposed. Equilibria corresponding to the energy extrema while conserving these invariants for parallel flows yield three classes of solutions and one of them with an increasing radial density profile, relevant to solar flux tubes is presented.
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Mangalam, A., Krishans, V. Models of flux tubes from constrained relaxation. J Astrophys Astron 21, 299–302 (2000). https://doi.org/10.1007/BF02702413
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DOI: https://doi.org/10.1007/BF02702413