| 一类稳态中子迁移系统临界本征值的存在性 |
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| 引用本文： | 宋德功,王绵森.一类稳态中子迁移系统临界本征值的存在性[J].西安交通大学学报,1993,27(3):105-112. |
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| 作者姓名： | 宋德功 王绵森 |
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| 作者单位： | 西安交通大学数学系
(宋德功)，西安交通大学数学系(王绵森) |
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| 摘 要： | 对一类具广义反射边界条件、能量连续变化、介质非均匀且可含任意空穴、散射和裂变各向异性的稳态中子迁移系统,本文利用L~2空间的算子理论,论证了临界本征值的存在性.
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| 关 键 词： | 迁移算子 特征值 临界状态 中子 |
ON THE EXISTENCE OF CRITICAL EIGENVALUE FOR A CLASS OF STEADY-STATE NEUTRON TRANSPORT SYSTEM |
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| Song Degong Wang Miansen.ON THE EXISTENCE OF CRITICAL EIGENVALUE FOR A CLASS OF STEADY-STATE NEUTRON TRANSPORT SYSTEM[J].Journal of Xi'an Jiaotong University,1993,27(3):105-112. |
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| Authors: | Song Degong Wang Miansen |
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| Institution: | Department of Mathematics |
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| Abstract: | By use of the operator theory in L~2 space, the existence of critical eigenvalue is demonstrated for a class of steady-state neutron transport system in a slab with generalized reflection boundary conditions, continuous energy and inhomogeneous medium possibly with any cavity, and with anisotropic scattering and fission. |
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| Keywords: | transport operator characteristic equation characteristic value critical state |
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