Geodesic
Exact global plasma equilibria
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 55 (2000) no. 3, pp. 463-500

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Exact global axisymmetric and helically symmetric plasma equilibria are derived. These two families of exact solutions of the plasma equilibrium equations are not translation-invariant, depend on arbitrarily many parameters, and contain special $z$-invariant equilibria. All plasma equilibria constructed are smooth and localized in the sense that they have finite magnetic energy in each layer $c_1$. Furthermore, these exact solutions provide counterexamples to Parker's well-known theorem. 
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     author = {O. I. Bogoyavlenskii},
     title = {Exact global plasma equilibria},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {463--500},
     publisher = {mathdoc},
     volume = {55},
     number = {3},
     year = {2000},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RM_2000_55_3_a1/}
}
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O. I. Bogoyavlenskii. Exact global plasma equilibria. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 55 (2000) no. 3, pp. 463-500. http://geodesic.mathdoc.fr/item/RM_2000_55_3_a1/