期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

具抽象边界条件的迁移方程的研究进展

Research Development of Transport Equation with Abstract Boundary Conditions
下载PDF
导出
摘要 本文介绍了近年来国际上具抽象边界条件的迁移方程的研究进展,主要阐述了这类迁移方程解的构造性理论及应用等研究成果。 The paper is to introduce research development of transport equations with abstract boundary conditions on internation recently,It is to explain that the research results for constructive theory and application of the transport equations solution.
作者 王胜华 黄伟
机构地区 上饶师范学院 南昌大学数学系
出处 《上饶师范学院学报》 2011年第3期1-5,共5页 Journal of Shangrao Normal University
基金 江西省自然科学基金资助课题(2010GZC185) 江西省教育厅科技资助项目(GJJ10609)
关键词 迁移方程 抽象边界条件 构造性理论 Transport equation abstract boundary condition contructive theory
分类号 O177.2 [理学—基础数学]
  • 相关文献

参考文献38

  • 1Lehner. J, 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.
  • 2Lehner J, Wing G M. Solution of the linearized Boltzmann equation for the slab geometry [J]. Duke Math, 1956,23:125- 142.
  • 3Jorgens K. An asymptotic expansion in the theory of neutron transport[ J]. Comm Pure Appl Math, 1958,11:219- 242.
  • 4Case K M.Elementary solution of the transport equation and their applications [J] .Annals of physics, 1960,9:1- 23.
  • 5Van Norton, On the real spectrum of a monoenergy neutron transport operator[ J]. Comm Pure Appl Math 1962,15:149- 158.
  • 6lax P D,Phillipsc R S. Decaying modes for the wave equation in exterior of an obstacle[J]. Comm Pure Aple Math, 1969,22:737 - 750.
  • 7Albertoni S, Montagnini B. On the spectrum of neutron transport equation in bodies[J] .J Math Anal Appl, 1966,13:19- 33.
  • 8Larsen E W,Zweifel P E. on the spectrum of the linear transport operator[J].J Math Phys, 1974,15:1981 - 1989.
  • 9Greenberg W ,Van der Mee C V M, Pmtopopesu V. Boundary Value problems in adstract kinetic theory[M], Birkhauser Verlay Basel Stuttgart(1987).
  • 10Voigt J. Spectral properties of the neutron transport Equation[ J]. Journal of Mathematical Analysis and Applications, 1985, 106:140- 153.

二级参考文献10

  • 1Latrach K, Mokhtar-Kharroubi M. Spectral analysis and generation results for streaming operatorswith multiplying boundary conditions[J]. Kluwer Academic, 1999, 3: 273-296.
  • 2Latrach K. On the spectrum of the transport operator with abstract boundary conditions in slap geome- try[J]. Journal of Mathematical Analysis and Applications, 2000, 252: 1-17.
  • 3Boulanouar M. Generation theorem for the streaming operator in slab geometry[J]. Journal of Dynamical and Control Systems, 2003, 33-51.
  • 4Lods B, Sbihi M. Stability of the essential spectrum for 2D-transport models with Maxwell boundary conditions[J]. Mathematical Methods in the Applied Sciences, 2006, 29: 499-523.
  • 5Latrach K, Megdiche H. Spectial properties and regularity of solutions to transport equations in slab geometry [J]. Mathematical Methods in the Applied Sciences, 2006, 29: 2089-2121.
  • 6Latrach K, Megdiche H. A compactness result for perturbed semigroup and application to a transport model[J]. Journal of Mathematical Analysis and Applications, 2009, 359: 88-94.
  • 7Abdelmoumen B,Jeribi A, Mnif M. Time asymptotic description of the solution to an abstract Cauchy pro m and application to transport equation[J]. Math Z DOI10. 1007/S00209-010ble-0698-1.
  • 8Latrach K. Time asymptotic behaviour for linear transport equations with abstract boundary conditions in slab geometry[J]. Transport Theory and Statistical Physics, 1994, 23(5): 633-670.
  • 9Latrach K, Dehici A. Relatively strictly singular perturbations. Essential spectral and application to transport operators[J]. Journal of Mathematical Analysis and Applications. 2002, 252: 767-789.
  • 10Vidav I. Existence and uniqueness of nonnegative eigenfunction of the Boltzmann operator[J]. Journal of Mathematical Analysis and Applications, 1968, 22: 144-155.

共引文献34

上饶师范学院学报
2011年 第3期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部