| A NOTE ON THE SPECTRUM OF NEUTRON TRANSPORT OPERATOR IN A SLAB WITH GENERALIZED BOUNDARY CONDITIONS |
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| 引用本文： | SONG Degong WANG Miansen (Department of Mathematics,Xi''''an Jiaotong University,Xi''''an 710049,China)ZHU Guangtian (Institute of Systems Science,Academia Sinica,Beijing 100080,China). A NOTE ON THE SPECTRUM OF NEUTRON TRANSPORT OPERATOR IN A SLAB WITH GENERALIZED BOUNDARY CONDITIONS[J]. 系统科学与复杂性, 1992, 0(2) |
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| 作者姓名： | SONG Degong WANG Miansen (Department of Mathematics Xi''''an Jiaotong University Xi''''an 710049 China)ZHU Guangtian (Institute of Systems Science Academia Sinica Beijing 100080 China) |
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| 作者单位： | SONG Degong WANG Miansen (Department of Mathematics，Xi'an Jiaotong University，Xi'an 710049，China)ZHU Guangtian (Institute of Systems Science，Academia Sinica，Beijing 100080，China) |
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| 基金项目： | Project supported by the National Natural Science Foundation of China |
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| 摘 要： | The spectrum of neutron transport operator A in an arbitrary non-homogeneous slab geometry is discussed in consideration of anisotropic scatteringand fission.Under the assumptions that the boundary reflection coefficient func-tion α(v,μ),γ(v,μ)and the scattering-fission kernel k(x,v,v′,μ,μ′)are boundedmeasurable,and the total collision frequency v∑(x,v)is square integrable,it isshown that A has at most finite spectrum points in any strip{λ=β+i(?)|β_1(?)β(?)β_2},where β_2>β_1>-λ~*,with λ~* the essential infimum of v∑(x,v).Fi-nally,the asymptotic expansion of the solution for the time-dependent equation(dN)/(dt)=AN,N(0)=N_0 is given as a corollary.
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A NOTE ON THE SPECTRUM OF NEUTRON TRANSPORT OPERATOR IN A SLAB WITH GENERALIZED BOUNDARY CONDITIONS |
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| SONG Degong WANG Miansen. A NOTE ON THE SPECTRUM OF NEUTRON TRANSPORT OPERATOR IN A SLAB WITH GENERALIZED BOUNDARY CONDITIONS[J]. Journal of Systems Science and Complexity, 1992, 0(2) |
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| Authors: | SONG Degong WANG Miansen |
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| Abstract: | |
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| Keywords: | Neutron transport operator slab geometry generalized boundary conditions spectrum asymptotic expansion |
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