Alternative Derivations of the Divergence Formula

  • William Denis D’haeseleer
  • William Nicholas Guy Hitchon
  • James D. Callen
  • J. Leon Shohet
Part of the Springer Series in Computational Physics book series (SCIENTCOMP)

Abstract

In this chapter, we discuss two alternative derivations for the divergence formula of (2.6.39). The one found most frequently in the applied mathematics literature involves Christoffel symbols. This derivation is rather remote from the usual plasma physics calculations, however. Nevertheless, for completeness and cohesiveness of our treatment, we include it as a last case. The method given first is the most natural.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • William Denis D’haeseleer
    • 1
    • 2
  • William Nicholas Guy Hitchon
    • 3
  • James D. Callen
    • 4
  • J. Leon Shohet
    • 3
  1. 1.School of EngineeringKatholieke Universiteit LeuvenLeuvenBelgium
  2. 2.The NET TeamMax-Planck-Institut für PlasmaphysikGarching bei MünchenFed. Rep. of Germany
  3. 3.Department of Electrical and Computer EngineeringUniversity of Wisconsin-MadisonMadisonUSA
  4. 4.Departments of Nuclear Engineering & Engineering Physics and PhysicsUniversity of Wisconsin-MadisonMadisonUSA

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