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Analysis of a generalized nonlinear diffusion equation in fusion plasma physics

Published online by Cambridge University Press:  13 March 2009

D. Anderson  and
M. Lisak
D. Anderson
Affiliation:
Institute for Electromagnetic Field Theory and EURATOM-FUSION Research (EUR-NE), Chalmers University of Technology, S-412 96 Göteborg, Sweden
M. Lisak
Affiliation:
Institute for Electromagnetic Field Theory and EURATOM-FUSION Research (EUR-NE), Chalmers University of Technology, S-412 96 Göteborg, Sweden
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Extract

Using similarity methods, an investigation is made of a generalized nonlinear diffusion equation arising in plasma physics in connexion with several recently proposed models for turbulent plasma energy transport and particle diffusion.

In almost every field of physics, diffusion or transport equations of the form Ψt = Δ. (DΔΨ) play an important role. The theory of linear diffusion equations, where the diffusion constant D is independent of Ψ, has been developed to a high degree of sophistication (e.g. Carsiaw & Jaeger 1959).

Type
Articles
Information
Journal of Plasma Physics , Volume 27 , Issue 1 , February 1982 , pp. 149 - 156
Copyright
Copyright © Cambridge University Press 1982

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References

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