KHALID LATRACH and ABDELKADER DEHICI (2001) Spectral properties and time asymptotic behaviour of linear transport equations in slab geometry. Mathematical methods in the applied sciences , 24(10), 689-711, Wiley
Scientific Publications
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Abstract
The goal of this paper is to analyse some spectral properties of time-dependent monoenergetic linear transport equation with perfect reflecting boundary conditions.It is proved that the streaming operator generates a strongly continuous group and its explicit expression is derived. This enables us to investigate in details the compactness properties of the second-order remainder term of the Dyson–Phillips expansion for a large class of collision operators. The validity of the obtained results for perfect periodic boundary conditions is also discussed.
Information
| Item Type | Journal |
|---|---|
| Divisions |
» Laboratory of Computer Science and Mathematics |
| ePrint ID | 899 |
| Date Deposited | 2017-10-01 |
| Further Information | Google Scholar |
| URI | https://univ-soukahras.dz/en/publication/article/899 |
BibTex
@article{uniusa899,
title={Spectral properties and time asymptotic behaviour of linear transport equations in slab geometry},
author={KHALID LATRACH and ABDELKADER DEHICI},
journal={Mathematical methods in the applied sciences}
year={2001},
volume={24},
number={10},
pages={689-711},
publisher={Wiley}
}
title={Spectral properties and time asymptotic behaviour of linear transport equations in slab geometry},
author={KHALID LATRACH and ABDELKADER DEHICI},
journal={Mathematical methods in the applied sciences}
year={2001},
volume={24},
number={10},
pages={689-711},
publisher={Wiley}
}