at Google ScholarTitle data
Rein, Gerhard ; Straub, Christopher:
On the transport operators arising from linearizing the Vlasov-Poisson or Einstein-Vlasov system about isotropic steady states.
In: Kinetic & Related Models.
Vol. 13
(2020)
Issue 5
.
- pp. 933-949.
ISSN 1937-5077
DOI: https://doi.org/10.3934/krm.2020032
Abstract in another language
If the Vlasov-Poisson or Einstein-Vlasov system is linearized about an isotropic steady state, a linear operator arises the properties of which are relevant in the linear as well as nonlinear stability analysis of the given steady state. We prove that when defined on a suitable Hilbert space and equipped with the proper domain of definition this transport operator T is skew-adjoint, i.e., T∗=−T. In the Vlasov-Poisson case we also determine the kernel of this operator.
Further data
| Item Type: | Article in a journal |
|---|---|
| Refereed: | Yes |
| Keywords: | Vlasov-Poisson system; Einstein-Vlasov system; linearization;
skew-adjointness; transport operator |
| Subject classification: | Primary: 85A05, 47F05; Secondary: 35B35, 35Q75 |
| Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Professorship Applied Mathematics > Professor Applied Mathematics - Univ.-Prof. Dr. Gerhard Rein Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Professorship Applied Mathematics |
| Result of work at the UBT: | Yes |
| DDC Subjects: | 500 Science > 510 Mathematics |
| Date Deposited: | 11 Sep 2020 07:02 |
| Last Modified: | 05 May 2022 10:21 |
| URI: | https://eref.uni-bayreuth.de/id/eprint/56877 |