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Applications of NSA to Mathematical Physics

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Nonstandard Analysis

Part of the book series: NATO ASI Series ((ASIC,volume 493))

Abstract

I will here present three applications of nonstandard techniques to the analysis of models in mathematical physics. The first provides an answer to a longstanding (standard) question about the stability of a functional equation arising in kinetic theory. It has relevance for a wide range of problems in the theoretical and numerical studies of rarefied gases.

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References

  1. Arkeryd, L. (1993), Some examples of NSA methods in kinetic theory, Lecture Notes in Mathematics 1551, Springer, Berlin.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Chalmers University of Technology and Göteborg University, S-412 96, Göteborg, Sweden

    Leif Arkeryd

Authors
  1. Leif Arkeryd
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Editor information

Editors and Affiliations

  1. University of Gothenburg, Sweden

    Leif O. Arkeryd

  2. University of Hull, England

    Nigel J. Cutland

  3. University of Illinois, Urbana-Champaign, USA

    C. Ward Henson

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© 1997 Springer Science+Business Media Dordrecht

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Arkeryd, L. (1997). Applications of NSA to Mathematical Physics. In: Arkeryd, L.O., Cutland, N.J., Henson, C.W. (eds) Nonstandard Analysis. NATO ASI Series, vol 493. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5544-1_11

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  • DOI: https://doi.org/10.1007/978-94-011-5544-1_11

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6335-7

  • Online ISBN: 978-94-011-5544-1

  • eBook Packages: Springer Book Archive

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