Abstract
The aim of this paper is to give a constructive method for the solution of the Boltzmann equation for neutron transport in a bounded space domain subject to typical boundary and initial conditions. Sufficient conditions are given to insure the existence of a unique solution. The method entails the use of a semiinner product in a Banach space together with successive approximations, and leads to a recursion formula for the calculation of approximate solutions and error estimates. The linearized Boltzmann equation for neutron transport is included as a special case.
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Communicated by M. Kac
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Pao, C.V. Solution of a nonlinear Boltzmann equation for neutron transport in L1 space. Arch. Rational Mech. Anal. 50, 290–302 (1973). https://doi.org/10.1007/BF00281510
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DOI: https://doi.org/10.1007/BF00281510