ASYMPTOTIC BEHAVIOR OF THE SOLUTION FOR THE NEUTRON TRANSPORT EQUATION IN A SLAB WITH GENERALIZED REFLECTING BOUNDARY CONDITIONS

被引：0

作者：

徐建国

王绵森

朱广田

机构：

[1] China

[2] Academia Sinica

[3] Institute of Systems Science

[4] Beijing

[5] Department of Mathematics Xi’an Jiaotong University

来源：

Systems Science and Mathematical Sciences | 1989年 / 01期

关键词：

Transport equation; reflecting boundary condition; positive C0-semigroup; dominating eigenvalue;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper discusses the neutron transport equation in a slab with generalized reflectingboundary conditions.By means of the positive C-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.

引用

页码：14 / 21

页数：8

共 50 条

[1] ASYMPTOTIC EXPANSION AND ASYMPTOTIC BEHAVIOR OF THE SOLUTION FOR THE TIME-DEPENDENT NEUTRON TRANSPORT PROBLEM IN A SLAB WITH GENERALIZED BOUNDARY CONDITIONS
宋德功
王绵森
朱广田
Systems Science and Mathematical Sciences, 1990, (02) : 102 - 125
[2] CRITICALITY ESTIMATES FOR NEUTRON-TRANSPORT IN A SLAB WITH GENERALIZED REFLECTING BOUNDARY-CONDITIONS
PAULLING, J
JOURNAL OF INTEGRAL EQUATIONS, 1983, 5 (01): : 1 - 32
[3] NEUTRON TRANSPORT IN A NONUNIFORM SLAB WITH GENERALIZED BOUNDARY CONDITIONS
BELLENIMORANTE, A
JOURNAL OF MATHEMATICAL PHYSICS, 1970, 11 (05) : 1553 - +
[4] ON THE DISCRETE-ORDINATES METHOD FOR THE MONOENERGETIC NEUTRON TRANSPORT EQUATION IN A SLAB WITH GENERALIZED BOUNDARY CONDITIONS
卫淑芝
王绵森
孙凤亭
朱广田
高校应用数学学报A辑(中文版), 1992, (01) : 77 - 90
[5] A NOTE ON THE SPECTRUM OF NEUTRON TRANSPORT OPERATOR IN A SLAB WITH GENERALIZED BOUNDARY CONDITIONS
SONG Degong WANG Miansen (Department of Mathematics
Systems Science and Mathematical Sciences, 1992, (02) : 97 - 107
[6] ASYMPTOTIC BEHAVIOR OF THE SOLUTION OF A DIFFUSION EQUATION WITH NONLOCAL BOUNDARY CONDITIONS
Kakumani, Bhargav Kumar
Tumuluri, Suman Kumar
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2017, 22 (02): : 407 - 419
[7] ASYMPTOTIC-BEHAVIOR OF SOLUTION OF INTEGRAL TRANSPORT-EQUATION IN SLAB GEOMETRY
KAPER, HG
KELLOGG, RB
SIAM JOURNAL ON APPLIED MATHEMATICS, 1977, 32 (01) : 191 - 200
[8] THE SOLUTION OF A STATIONARY TRANSPORT EQUATION FOR SPHERES WITH GENERALIZED BOUNDARY CONDITIONS
雷鹏
阳名珠
Systems Science and Mathematical Sciences, 1988, (02) : 159 - 163
[9] The critical slab problem for reflecting boundary conditions in one-speed neutron transport theory
Atalay, MA
ANNALS OF NUCLEAR ENERGY, 1996, 23 (03) : 183 - 193
[10] Eigenvalues of the neutron transport equation in X-Y geometry and reflecting boundary conditions
de Azevedo, F. S.
Sauter, E.
Lorensi, G. A.
Mocellin, A. P. G.
PROGRESS IN NUCLEAR ENERGY, 2022, 144

← 1 2 3 4 5 →