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Spectral properties and regularity of solutions to transport equations in slab geometry

✍ Scribed by Khalid Latrach; Hatem Megdiche

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
285 KB
Volume
29
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

This paper deals with regularity properties of solutions to Cauchy problems governed by one‐dimensional transport equations for a wide class of anisotropic scattering operators and a variety of boundary conditions which cover, in particular, the classical known ones. Under adequate assumptions, various descriptions of the large time behaviour of solutions are derived. Copyright © 2006 John Wiley & Sons, Ltd.

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Spectral properties and time asymptotic
Spectral properties and time asymptotic behaviour of linear transport equations in slab geometry
✍ Khalid Latrach; Abdelkader Dehici 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 190 KB

## 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