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ASYMPTOTIC BEHAVIOR OF THE SOLUTION FOR THE NEUTRON TRANSPORT EQUATION IN A SLAB WITH GENERALIZED REFLECTING BOUNDARY CONDITIONS
引用本文:徐建国,王绵森,朱广田. ASYMPTOTIC BEHAVIOR OF THE SOLUTION FOR THE NEUTRON TRANSPORT EQUATION IN A SLAB WITH GENERALIZED REFLECTING BOUNDARY CONDITIONS[J]. 系统科学与复杂性, 1989, 0(1)
作者姓名:徐建国  王绵森  朱广田
作者单位:Department of Mathematics Xi'an Jiaotong University,Xi'an,China,Department of Mathematics,Xi'an Jiaotong University,Xi'an,China,Institute of Systems Science,Academia Sinica,Beijing,China
基金项目:Project supported by the science Fund of the Chinese Academy of Sciences
摘    要:This paper discusses the neutron transport equation in a slab with generalized reflectingboundary conditions.By means of the positive C_0-semigroup theory,we have proved that this problemhas a unique nonnegative solution and found the spectral property of the corresponding transportoperator.Finally we give the asymptotic behavior of the solution for this equation.


ASYMPTOTIC BEHAVIOR OF THE SOLUTION FOR THE NEUTRON TRANSPORT EQUATION IN A SLAB WITH GENERALIZED REFLECTING BOUNDARY CONDITIONS
Xu Jianguo. ASYMPTOTIC BEHAVIOR OF THE SOLUTION FOR THE NEUTRON TRANSPORT EQUATION IN A SLAB WITH GENERALIZED REFLECTING BOUNDARY CONDITIONS[J]. Journal of Systems Science and Complexity, 1989, 0(1)
Authors:Xu Jianguo
Affiliation:Xu Jianguo~
Abstract:This paper discusses the neutron transport equation in a slab with generalized reflectingboundary conditions.By means of the positive C_0-semigroup theory,we have proved that this problemhas a unique nonnegative solution and found the spectral property of the corresponding transportoperator.Finally we give the asymptotic behavior of the solution for this equation.
Keywords:Transport equation  reflecting boundary condition  positive C_0-semigroup  dominating eigenvalue
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