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板模型中一类具连续能量的迁移算子的谱(英文) 被引量：7

The Spectrum of the Transport Operator with the Continuate Energy in a Slab
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摘要 讨论了板模型中一类具各向同性、连续能量、均匀介质中子迁移算子的谱 ,证明了该算子仅有有限个代数指标为 This paper discusses the spectrum of the neutron transport Operator for the isotropic continuate eneryy homogeneous in slab geometry.It is prove that this Operator has Only a finite of real discrete digenvalues whid algebraic index is one.
作者 王胜华
机构地区 上饶师专
出处 《上饶师专学报》 2000年第3期1-6,共6页
关键词 板模型 连续能量 谱 各向同性 中子迁移算子 Transport operator Real discrete Eigenvalue Algebraic index
分类号 TL323 [核科学技术—核技术及应用] O177.7 [理学—基础数学]
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参考文献10

  • 1[1]Lehner J.and Wing G M.On the spectrum of an Unsymmetric Operator aring in the transport theory of neutron[J].Comm.Pure.Appl.Math,1955,(8) :217-234.
  • 2[2]Lehner J.and Wing G M.Solution of the linearized Boltzmann equation for the slab geometry[J].Duke Math.J,1956,(23): 125-142.
  • 3[3]Jorgens K.An asymptotic expansion in the theory of neutron transport[J].Comm.pure.Appl.Math,1965,( 11 ) :219-242.
  • 4[4]Norton R V.On the real spectrum of a monoenergy neutron transport operator[J].Comm.Pure.Appl.Math,1962,(15):149-158.
  • 5[5]Yang Mingzhu & Zhu Guangtian.Spectrum of neutron Transport operator with anisotropic scattering and fission[J].Scintia Sinica,1981,( 1 ): 25-30.
  • 6[6]Yang Mingzhu & Zhu Guangtian.Maxmini Value Principle and Transport Operator[J].Kexue Tongbao (Science Bulleytin),a special issue on Math.phys.Chem,1980,158-161.
  • 7[7]Yao Aixiang & Yang Mingzhu.The index of eigenvalue of the transport operator with in homogeneous convex medium[J].Scienca Sinica.1992,(2): 154-160.
  • 8[8]Yao Aixiang & Yang Mingzhu.The index of eigeavalue of the tronsport operator with inhomogeheous medium in Sphere[J].Acta Math.Scienca ( supple issue),1992.( in Chinese).
  • 9[9]Wang Shenghua,and Yang Mingzhu.The Spectrum of a Integro-differential Operator[J].Acta math Scientia 11.1991,308-318.(in Chinese).
  • 10[10]Wang Shenghua.Stability of Solution of initialvalue problem in Trausport Theory[J].Acta Mathematica Scientia (supple.issue),1992,12-16.(in Chinese).

同被引文献16

  • 1Lehner.J and Wing.G.M.On the spectrum of an unsymmetric operator arising in the transport theory of neutron[J].Comm.Pure.Appl.Math,1955,(8):217-234.
  • 2Jorgens.K.An asymptotic expansion in the theory of neutron transport[J].Comm.Pure.Appl.Math,1958,(11):219-242.
  • 3阳名珠,朱广田.极值原理与迁移算子.科学通报,:158-161.
  • 4Wang Shenghua,Yany Mingzhu,Xu Genqi.The spectrum of the transport operator with generalized boundary conditions[J].Transport Theory and Statistical Physics,1996,25 (7):811-823.
  • 5庄万.泛函分析讲义(第二卷)[M].北京:科学出版社,1983.
  • 6Voigt J. Spectral properties of the neutron transport Equation[J] .Journal of Mathematical Analysis and Applications ,1995,106:140- 153.
  • 7Ukai S. On the spectrum of the space- independent Boltzmann Operator[J]. Nuclear Energy, A/B, 1965,19: 833- 848.
  • 8Lehner, J and Wing. G. M. On the spectrum of an unsymmetric operator arising in the transport theory of neutron[ J]. Comm. Pure.Appl. Math, 1955,8:217 - 234.
  • 9阳名珠 朱广田.各向异性散射裂变的中子迁移算子的谱.中国科学,1981,(1):25-30.
  • 10阳名珠 朱广田.含任意空穴的非均匀介质中具连续能量的迁移算子的谱.中国科学,1978,2:165-170.

引证文献7

二级引证文献4

上饶师专学报
2000年 第3期

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