Existence and unioueness of the solution to the critical problem in the multigroup neutron-transport theory

Existence and unioueness of the solution to the critical problem in the multigroup neutron-transport theory
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多群中子输运理论关键问题解的存在性和唯一性

DOI:
10.1080/00411457208232540
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发表时间:
1972
影响因子:
--
通讯作者:
J. Mika
J. Mika
中科院分区:
--
文献类型:
--
作者:
M. Borysiewicz;J. Mika

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摘要在多群近似的框架下,给出了有限反应堆系统的临界问题。在系统具有谱再生性的条件下,证明了多群输运方程的临界问题存在唯一解。这个解是非负的,并且处处有界。
Abstract The critical problem for a finite reactor system is formulated in the framework of the multigroup approximation. Under the condition that the system has spectrum-regenerated properties it is proved that the critical problem to the multigroup transport equation has a unique solution. This solution is nonnegative and essentially bounded everywhere.