On the existence of plasma corners. (English) Zbl 0798.76097
Summary: The free-boundary MHD equilibrium is considered for plane symmetry and constant current profile. It is shown that there are solutions with an \(x\)-point at the plasma-vacuum interface, such that the plasma fills one of the four sectors formed by the separatrix. Such “plasma corners” are a common feature of modern fusion devices.
MSC:
| 76W05 | Magnetohydrodynamics and electrohydrodynamics |
| 76X05 | Ionized gas flow in electromagnetic fields; plasmic flow |
References:
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| [3] | Lackner, Computer Phys. Comm. 12 pp 33– (1976) |
| [4] | Lortz, Plasma Physics and Controlled Fusion 33 pp 77– (1991) |
| [5] | ; : Elemente der Funktionalanalysis. Akademie-Verlag, Berlin 1968. |
| [6] | Temam, Arch. Rat. Mech. Anal. 60 pp 51– (1975) |
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