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://www.univ-soukahras.dz/en/publication/article/899

BibTex