Knopf, Patrik (2019) Confined steady states of a Vlasov-Poisson plasma in an infinitely long cylinder. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 42 (18). pp. 6369-6384. ISSN 0170-4214, 1099-1476
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We consider the two-dimensional Vlasov-Poisson system to model a two-component plasma whose distribution function is constant with respect to the third space dimension. First, we show how this two-dimensional Vlasov-Poisson system can be derived from the full three-dimensional model. The existence of compactly supported steady states with vanishing electric potential in a three-dimensional setting has already been investigated by in the literature. We show that these results can easily be adapted to the two-dimensional system. However, our main result is to prove the existence of compactly supported steady states even with a nontrivial self-consistent electric potential.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | STATIONARY SOLUTIONS; EXISTENCE; SYSTEM; magnetic confinement; nonlinear partial differential equations; stationary solutions; Vlasov-Poisson equation |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics Mathematics > Prof. Dr. Harald Garcke |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 02 Apr 2020 11:34 |
| Last Modified: | 02 Apr 2020 11:34 |
| URI: | https://pred.uni-regensburg.de/id/eprint/26614 |
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