ON THE SPECTRUM OF NEUTRON TRANSPORT OPERATOR WITH CONTINUOUS ENERGY VARYING FROM NULL TO A FINITE CONSTANT

ON THE SPECTRUM OF NEUTRON TRANSPORT OPERATOR WITH CONTINUOUS ENERGY VARYING FROM NULL TO A FINITE CONSTANT

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摘要 In neutron transport theory, the strict dominance of the dominant eigenvalue associated with the transport operator plays a key role in studying the asymptotic behavior of the time dependent transport system. For bounded convex medium surrounded by vacuum, and with energy bounded away from the origin, this problem has been solved. Nevertheless, the result is only obtained under special conditions for nonhomogeneous medium with (0, v_m] energy. The general case will be discussed in this note. By the inequality given in Lemma 3, some hypotheses of [2] are weakened.

作者宋德功王绵森朱广田

机构地区 Department of Mathematics Department of Mathematics Institute of Systems Science

出处《Chinese Science Bulletin》 SCIE EI CAS 1992年第9期708-712,共5页

基金 Project supported by the National Natural Science Foundation of China.

关键词 neutron transport OPERATOR spectral property STRICTLY DOMINANT EIGENVALUE NEUTRON TRANSPORT OPERATOR SPECTRAL PROPERTY STRICTLY DOMINANT EIGENVALUE

分类号 N [自然科学总论]

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1SONG Degong (Department of Mathematics, Xi’an JiaotoThg University, Xi’an 710049, China)ZHU Guangtian (Institute of Systems Science, Academia Silica, Beijing 100080, China).CLASSICAL TIME DEPENDENT SOLUTION FORNEUTRON TRANSPORT IN A SLAB WITHGENERALIZED BOUNDARY CONDITIONS[J].Systems Science and Mathematical Sciences,1997,10(1):12-27.
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Chinese Science Bulletin

1992年第9期

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ON THE SPECTRUM OF NEUTRON TRANSPORT OPERATOR WITH CONTINUOUS ENERGY VARYING FROM NULL TO A FINITE CONSTANT

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