A free boundary Eigenvalue problem
The equilibrium equations for a confined axisymmetric plasma lead to a free boundary problem. This paper considers a simple model problem. Related equations are already known for other applications (astrophysics, fluid dynamics, atomic physics). If all but one parameter are kept fixed, it is a non-linear elliptic Eigenvalue problem which generalises a related linear eigenvalue problem. Given a branch of explicitly known solutions this study demonstrates that there exist infinitely many bifurcation points using the perturbation approach. Further the paper investigates numerically the structure of the solutions on the bifurcating branches; their rapid changing near the bifurcation points as well as their asymptotics.
Bibliographic Reference: Report: IPP 6/310 EN (1992) 15 pp.
Availability: Available from Max-Planck-Institut für Plasmaphysik, 8046 Garching bei München (DE)
Record Number: 199211543 / Last updated on: 1994-11-29
Original language: en
Available languages: en