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Spatial Moments for the Nonstationary One-Velocity Problem of Transport Theory with Isotropic Scattering. 2. Plane Instantaneous Source

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Abstract

The spatial distribution of the density of particles emitted by a plane infinite isotropic source with a unit surface particle density is reconstructed for the nonstationary one-velocity problem of transport theory by the method of polynomial expansions with the use of Legendre and Hermite polynomials. The diffusion approximation is examined and the boundaries of the spatiotemporal region in which this approximation is valid are estimated.

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Authors and Affiliations

  1. Ul'uanovsk State University, Russia

    V. V. Uchaikin, I. V. Yarovikova & V. V. Saenko

Authors
  1. V. V. Uchaikin
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  2. I. V. Yarovikova
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  3. V. V. Saenko
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Uchaikin, V.V., Yarovikova, I.V. & Saenko, V.V. Spatial Moments for the Nonstationary One-Velocity Problem of Transport Theory with Isotropic Scattering. 2. Plane Instantaneous Source. Russian Physics Journal 43, 871–875 (2000). https://doi.org/10.1023/A:1009497103608

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  • DOI: https://doi.org/10.1023/A:1009497103608

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