Some spectral properties of the streaming operator with general boundary conditions |
| |
Authors: | Mohamed Boulanouar |
| |
Institution: | (1) LMCM, Université de Poitiers, 22 Rue des Canadiens, 86000 Poitiers, France |
| |
Abstract: | 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 C
0-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. |
| |
Keywords: | compactness essential type positivity and irreducibility spectral properties streaming operator strongly continuous semigroups |
本文献已被 SpringerLink 等数据库收录! |
|