Geodesic
A hyperbolic model of neutron diffusion in a~one-dimensional moderator
Sibirskij žurnal industrialʹnoj matematiki, Tome 14 (2011) no. 4, pp. 76-85

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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, one-dimensional medium, Riemann matrices of the first and second kinds, reduction of a mixed problem to a Cauchy problem.
Mots-clés : thermal neutrons 
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     author = {R. K. Romanovskiǐ and T. V. Ivanchenko},
     title = {A hyperbolic model of neutron diffusion in a~one-dimensional moderator},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
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     url = {http://geodesic.mathdoc.fr/item/SJIM_2011_14_4_a7/}
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R. K. Romanovskiǐ; T. V. Ivanchenko. A hyperbolic model of neutron diffusion in a~one-dimensional moderator. Sibirskij žurnal industrialʹnoj matematiki, Tome 14 (2011) no. 4, pp. 76-85. http://geodesic.mathdoc.fr/item/SJIM_2011_14_4_a7/