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板模型中一类带广义边界条件具各向异性迁移算子的谱 被引量：1

The Spectrum of Transport Operator with General Boundary Condition in Slab Geometry
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摘要 研究了在板模型中一类带广义边界条件具各向异性、单能、均匀介质迁移算子A的谱,证明了其生成的c0半群Dyson-Ph illips展开式的二阶余项是紧的,从而得到迁移算子A的一些谱性质。 The paper is concerned with the spectral properties of the transport operator general boundary cond and then itions. It prove that the seconel order remainder of the semigroup generated by the transport operator is compact, and then present the spectral property of the transport operator.
作者 郑远广 王胜华
机构地区 南昌大学数学系 上饶师院数学与计算机系
出处 《南昌大学学报（理科版）》 CAS 北大核心 2006年第6期517-521,共5页 Journal of Nanchang University(Natural Science)
基金 江西省自然科学基金资助项目(0311022)
关键词 迁移算子 C0半群 二阶余项 占优本征值 ：transport operator co group the second order remainder dominant eigenvalue
分类号 O177.2 [理学—基础数学]
  • 相关文献

参考文献6

  • 1Khaild Latrach and Abdelkader Dehici,Spectral Properties and Time Asymptotic Behaviour of Linear Transport Equations in Slab Geometry[J].Mathematical Methods in the Applied Sciences,2001,24:689-711.
  • 2王胜华,郑远广.板几何中具完全反射边界条件迁移算子的谱分析[J].江西师范大学学报（自然科学版）,2005,29(5):403-406. 被引量：8
  • 3王胜华,贾善德.板几何中一类具周期边界条件迁移算子的谱[J].西南师范大学学报（自然科学版）,2005,30(6):964-970. 被引量：12
  • 4Wang Sheng hua,Yang Ming zhu and Xu Gen qi,The Spectrum of the Transport with Generalized Boundary,Conditions[J].Transport Theory and Statistical Physics,1996 25(7),811-823.
  • 5Pazy A,Semigroups of Linear Operator and Applications to Partial Differential Equations[M].Springer new york,1983.
  • 6Dunford N,Schwartz JT.Linear Operators.Part Ⅰ:General Theory[M].Wiley-Interscience:New York,1958.

二级参考文献15

  • 1Wang Shenghua, Yang Mingzhu, Xu Genqi. The spectrum of the transport operator with generalized boundary conditions[J]. Transport Theory and statistical physics , 1996,25(7) :811-823.
  • 2阳名珠 朱广田.具各向异性散射和裂变的中子迁移算子的谱[J].中国科学,1981,(1):25-30.
  • 3Khalid Latrach, Abdelkader Dehici. Spectral properties and time asymptotic behaviour of linear transport equations in slab geometry[ J].Mathematical Methods in the Applied Sciences,2001,24: 689-711.
  • 4Morhtar-Kharroubi M. Time asymptotic behaviour and compactness in neutron transport theory[ J ]. European Journal of Mechanics Bfluid,1992,11:39-68.
  • 5Khalid Latrach. On the spectrum of the transport operator with abstract boundary conditions in slab geometry[J]. Journal of Mathematical Analysis and Applications, 2000,252:1-17.
  • 6Voigt J. Spectral properties of the neutron transport equation[ J ]. Journal of Mathematical Analysis and Applications, 1985,106:140-153.
  • 7Wang Shenghua,Yang Mingzhu,Xu Genqi.The Spectrum of the Transport Operator with Generalized Boundary Conditions[J].Transport Theory and statistical physics,1996,25(7):811 -823.
  • 8Kha lid Latrach,Abdelkader Dehici.Spectral Properties and Time Asymptotic Behaviour of Linear Transport Equations in Slab Geometry[J].Mathematical Methods in the Applied Sciences,2001,24:689 -711.
  • 9Khalid Latrach,Morhtar-Kharroubi M.Spectral Analysis and Generation Results for Streaming Operators with Multiplying Boundary Conditions[ J].Positinity,1999,3:273-296.
  • 10Khalid Latrach.On the Spectrum of the Transport Operator with Abstract Boundary Conditions in Slab Geometry[J].Journal of Mathematical Analysis and Applications,2000,252:1 -17.

共引文献16

同被引文献4

引证文献1

二级引证文献1

南昌大学学报（理科版）
2006年 第6期

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