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Journal of Mathematical Physics / Volume 18 / Issue 4

J. Math. Phys. 18, 764 (1977); http://dx.doi.org/10.1063/1.523305 (6 pages)

Convolution and H‐equations for operator‐valued functions with applications to neutron transport theory

C. T. Kelley

Purdue University, West Lafayette, Indiana

The Wiener–Hopf factorization of certain‐valued functions is related to operator‐valued generalizations of Chandrasekhar’s H‐functions. These functions satisfy a nonlinear system and may be computed by an iterative scheme. A general transport equation is solved in terms of these functions. The equation for steady‐state transport in one space dimension with isotropic scattering and continuous energy dependence is discussed as an application.

PACS

  • 51.10.+y

    Kinetic and transport theory of gases

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.523305

PUBLICATION DATA

ISSN

0022-2488 (print)  
1089-7658 (online)

For access to fully linked references, you need to log in.
    R. L. Bowden, S. Sancaktar, and P. F. Zweifel, J. Math. Phys. 17, 76 (1976)JMAPAQ000017000001000076000001.

    R. L. Bowden, S. Sancaktar, and P. F. Zweifel, J. Math. Phys. 17, 82 (1976)JMAPAQ000017000001000082000001.

    E. G. Burniston, T. W. Mullikin, and C. F. Siewert, J. Math. Phys. 13, 1461 (1972)JMAPAQ000013000010001461000001.



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