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Bifurcation analysis of a non linear free boundary problem from plasma physics

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Part of the Lecture Notes in Mathematics book series (LNM,volume 711)

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

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09245-2

  • Online ISBN: 978-3-540-35332-4

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