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Practical solution for a three-dimensional problem of integral neutron transport theory

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Sommario

Il concetto di trasformazione aggiunta di Banach in uno spazio di Lebesgue Lp (p⩾1) è usato sistematicamente per provare l'esistenza, l'unicità e altre proprietà della soluzione dell'equazione lineare integrale del trasporto per il flusso stazionario neutronico in un corpo tridimensionale non omogeneo. Una soluzione pratica del problema viene proposta sotto forma di un opportuno sviluppo in serie di polinomi. Si converge assolutamente sul dominio D occupato dal corpo considerato.

Summary

The concept of Banach-adjoint transformation in a Lebesgue space Lp(p⩾1) is extensively used for proving the existence, the uniqueness and other basic properties of the solution to the stationary linear integral transport equation for the neutron flux in a three-dimensional inhomogeneous body. A practical solution of the problem is also constructed via a suitable polynomial expansion which is shown to converge in the mean of index one on the domain D occupied by the body considered.

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References

  1. V. C. Boffi, F. Premuda, andG. Spiga,Journal of Mathematical Physics,14, 346, 1973.

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  2. A. C. Zaanen,Linear Analysis, North-Holland Publishing Co., Amsterdam, 1964.

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  3. F. Riesz, andB. Sz. Nagy,Functional Analysis, Frederick Ungar Publishing Co., New York, 1965.

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  4. V. C. Boffi, andG. Spiga,Journal of Mathematical Physics,14, 1913, 1973

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  5. F. G. Tricomi,Istituzioni di Analisi Superiore, Cedam, Padova, 1970.

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Authors and Affiliations

  1. Laboratorio di Ingegneria Nucleare della Università di Bologna, Italy

    G. Spiga

Authors
  1. V. C. Boffi
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  2. G. Spiga
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Additional information

Work performed in the frame of a co-ordinate programme of research in “Methods in Neutron Transport Theory” under the sponsorship of I.A.E.A., Vienna.

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Boffi, V.C., Spiga, G. Practical solution for a three-dimensional problem of integral neutron transport theory. Meccanica 10, 21–26 (1975). https://doi.org/10.1007/BF02148281

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  • DOI: https://doi.org/10.1007/BF02148281

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