Existence of Invariant Densities and Time Asymptotics of Conservative Linear Kinetic Equations on the Torus Without Spectral Gaps
| Affiliation auteurs | Affiliation ok |
| Titre | Existence of Invariant Densities and Time Asymptotics of Conservative Linear Kinetic Equations on the Torus Without Spectral Gaps |
| Type de publication | Journal Article |
| Year of Publication | 2021 |
| Auteurs | Mokhtar-Kharroubi M |
| Journal | ACTA APPLICANDAE MATHEMATICAE |
| Volume | 175 |
| Pagination | 8 |
| Date Published | OCT |
| Type of Article | Article |
| ISSN | 0167-8019 |
| Mots-clés | Absence of spectral gap, compactness, Invariant density, Neutron transport equation |
| Résumé | This work deals with general linear conservative neutron transport semigroups without spectral gaps in L-1(T-n x R-n) where T-n is the n-dimensional torus. We study the mean ergodicity of such semigroups and their strong convergence to their ergodic projections as time goes to infinity Systematic functional analytic results are given. |
| DOI | 10.1007/s10440-021-00435-0 |