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Asymptotics for branching transport processes

Homogenization

Part of the Lecture Notes in Mathematics book series (LNM,volume 704)

Keywords

  • Transport Theory
  • Neutron Transport
  • Stochastic Evolution Equation
  • Branching Process
  • Differential Scattering Cross Section

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References

  1. A. Bensoussan, J. L. Lions, and G. C. Papanicolaou, Boundary layers and homogenization of transport processes, J. Publ. RIMS, Kyoto Univ., to appear.

    Google Scholar 

  2. To appear.

    Google Scholar 

  3. A. Bensoussan, J. L. Lions and G. C. Papanicolaou, Asymptotic Methods in Periodic Structures, North-Holland, Amsterdam, 1978.

    MATH  Google Scholar 

  4. E. Larsen and J. B. Keller, Solution of the steady, one-speed neutron transport equation for small mean free paths, J. Math. Phys. 15 (1974), pp. 299–305.

    CrossRef  MathSciNet  Google Scholar 

  5. E. Larsen, Neutron transport and diffusion in inhomogeneous media I, J. Math. Phys. 16 (1975), pp. 1421–1427.

    CrossRef  MathSciNet  Google Scholar 

  6. M. Williams, Ph.D. dissertation, New York Univ., 1976.

    Google Scholar 

  7. G. I. Bell, Stochastic formulations of neutron transport, in SIAM-AMS Proceedings, Vol. 1, Transport Theory, R. Bellman, G. Birkhoff and I. Abu-Shumays, editors, Providence, R. I., 1969, pp. 181–197.

    Google Scholar 

  8. J. E. Moyal, The general theory of stochastic population processes. Acta Math. 108 (1962) pp. 1–31. See also article in the same volume as [7], pp. 198–212.

    CrossRef  MathSciNet  MATH  Google Scholar 

  9. T. W. Mullikin, Branching processes in neutron transport theory, in: Probabalistic Methods in Appl. Math., Vol. 1, A. T. Bharucha-Reid, editor, Academic Press, New York, 1968, pp. 199–281.

    Google Scholar 

  10. N. Ikeda, M. Nagasawa and S. Watanabe, Branching Markov processes, J. Math. Kyoto Univ. 8 (1968), pp. 233–278, 356–410, and 9 (1969), pp. 95–160.

    MathSciNet  MATH  Google Scholar 

  11. T. Harris, The Theory of Branching Processes, Springer, Berlin, 1963.

    CrossRef  MATH  Google Scholar 

  12. J. Kerstan, K. Matthes and J. Mecke, Unbegrenzt teilbare Punktprozesse, Akademie-Verlag, Berlin, 1974.

    MATH  Google Scholar 

  13. O. Kallenberg, Random measures, Akademie-Verlag, Berlin, 1976.

    MATH  Google Scholar 

  14. J. Neveu, Processes ponctuels, École d'été de Saint Flour, 1976.

    Google Scholar 

  15. D. A. Dawson, Stochastic evolution equations and related measure processes, J. Multiv. Anal. 5 (1975), pp. 1–52.

    CrossRef  MathSciNet  MATH  Google Scholar 

  16. J. Lamperti, Continuous state branching processes, BAMS 73 (1967) pp. 382–386.

    CrossRef  MathSciNet  MATH  Google Scholar 

  17. M. Jirina, Diffusion branching processes with several types of particles, Zeitschrift für Wahr. 18 (1971) pp. 34–46.

    MathSciNet  MATH  Google Scholar 

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© 1979 Springer-Verlag

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Bensoussan, A., Lions, J.L., Papanicolaou, G.C. (1979). Asymptotics for branching transport processes. In: Glowinski, R., Lions, J.L., Laboria, I. (eds) Computing Methods in Applied Sciences and Engineering, 1977, I. Lecture Notes in Mathematics, vol 704. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0063629

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  • DOI: https://doi.org/10.1007/BFb0063629

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  • Print ISBN: 978-3-540-09123-3

  • Online ISBN: 978-3-540-35411-6

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