Some spectral properties of the streaming operator with general boundary conditions

被引：0

作者：

Mohamed Boulanouar

机构：

[1] LMCM,

[2] Université de Poitiers,undefined

来源：

Applications of Mathematics | 2008年 / 53卷

关键词：

compactness; essential type; positivity and irreducibility; spectral properties; streaming operator; strongly continuous semigroups;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper deals with the spectral study of the streaming operator with general boundary conditions defined by means of a boundary operator K. We study the positivity and the irreducibility of the generated semigroup proved in [M. Boulanouar, L’opérateur d’Advection: existence d’un C0-semi-groupe (I), Transp. Theory Stat. Phys. 31, 2002, 153–167], in the case ‖K‖ ⩾ 1. We also give some spectral properties of the streaming operator and we characterize the type of the generated semigroup in terms of the solution of a characteristic equation.

引用

页码：1 / 12

页数：11

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