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On the convexity of equilibrium plasma configurations
Author(s) -
Acker A.,
Payne L.
Publication year - 1981
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670030130
Subject(s) - convexity , plasma , mathematics , cylinder , regular polygon , section (typography) , magnetic field , convex analysis , cross section (physics) , mathematical analysis , geometry , physics , convex optimization , computer science , quantum mechanics , financial economics , economics , operating system
We investigate the problem of plasma confinement by a magnetic field in an infinite cylinder. We show that if the cylinder has convex cross‐section, then there exists an equilibrium plasma configuration with convex cross‐section.