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Sibirskii Zhurnal Industrial'noi Matematiki, 2011, Volume 14, Number 4, Pages 76–85 (Mi sjim699)  
A hyperbolic model of neutron diffusion in a one-dimensional moderator

R. K. Romanovskiĭ, T. V. Ivanchenko

Omsk State Technical University, Omsk, RUSSIA
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Abstract: We consider some boundary value problem describing the diffusion of thermal neutrons in a homogeneous one-dimensional medium accounting for absorption and breeding in the framework of a hyperbolic model of diffusion. We prove a unique existence theorem. The construction of a solution reduces to solving successively systems of linear integral equations of the second kind.
Keywords: generalized Fick's law, thermal neutrons, one-dimensional medium, Riemann matrices of the first and second kinds, reduction of a mixed problem to a Cauchy problem.
Received: 10.11.2010
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: R. K. Romanovskiǐ, T. V. Ivanchenko, “A hyperbolic model of neutron diffusion in a one-dimensional moderator”, Sib. Zh. Ind. Mat., 14:4 (2011), 76–85
Citation in format AMSBIB
\Bibitem{RomIva11}
\by R.~K.~Romanovski{\v\i}, T.~V.~Ivanchenko
\paper A hyperbolic model of neutron diffusion in a~one-dimensional moderator
\jour Sib. Zh. Ind. Mat.
\yr 2011
\vol 14
\issue 4
\pages 76--85
\mathnet{http://mi.mathnet.ru/sjim699}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2954009}
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