Counterexamples to Parker's theorem

Details Counterexamples to Parker's theorem Counterexamples to Parker's theorem

Apr 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000jmp....41.2043b&link_type=abstract

Journal of Mathematical Physics, Volume 41, Issue 4, pp. 2043-2057 (2000).

Mathematics

Mathematical Physics

4

Magnetohydrodynamics And Plasmas, Jets And Bursts, Galactic Winds And Fountains, Magnetic Confinement And Equilibrium, Plasma Dynamics And Flow, Jets, Outflows And Bipolar Flows

Scientific paper

Two families of exact global solutions to the equations of plasma equilibrium are derived. These solutions have no singularities, are localized, and are quasiperiodic in variable z; each family depends on an arbitrary number of free parameters. The solutions model a wide variety of magnetic field phenomena that might occur in laboratory plasmas, in astrophysical jets, and in solar corona. The same solutions describe global equilibria of an ideal incompessible fluid. In addition, these families provide counterexamples to a well-known theorem of Parker.

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