Abstract
A bounded domain Ω ⊂ IRn is studied which is divided into two subdomains separated by a free boundary. A function u on Ω has to satisfy a different (non-) linear elliptic PDE on each subdomain, as well as matching conditions on the interface. Starting with a one parameter family of known solutions we give a criterion to find bifurcation points and we analyse the bifurcating solutions. An important field of applications of this technique is the theory of confined plasmas.
Keywords
- Free Boundary
- Dirichlet Problem
- Bifurcation Point
- Vortex Ring
- Bifurcation Analysis
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© 1979 Springer-Verlag
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Sijbrand, J. (1979). Bifurcation analysis of a non linear free boundary problem from plasma physics. In: Verhulst, F. (eds) Asymptotic Analysis. Lecture Notes in Mathematics, vol 711. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062948
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DOI: https://doi.org/10.1007/BFb0062948
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