On a Bounded One-Dimensional Poisson–Vlasov System
✍ Scribed by Frisch, R. A.; Cheo, B. Ru-Shao
- Book ID
- 118195611
- Publisher
- Society for Industrial and Applied Mathematics
- Year
- 1973
- Tongue
- English
- Weight
- 441 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0036-1399
- DOI
- 10.1137/0124038
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📜 SIMILAR VOLUMES
## Abstract A collisionless plasma is modelled by the Vlasov–Poisson system in one dimension. We consider the situation in which mobile negative ions balance a fixed background of positive charge, which is independent of space and time, as ∣__x__∣ → ∞. Thus, the total positive charge and the total
## Abstract A collisionless plasma is modelled by the Vlasov–Poisson system in one dimension. A fixed background of positive charge, dependent only upon velocity, is assumed and the situation in which the mobile negative ions balance the positive charge as |__x__| → ∞ is considered. Thus, the total
Batt showed that solutions of the Vlasov-Poisson system remain smooth as long as the particle speeds remain finite. Pfaffelmoser was the first to establish a bound on the particle speeds, completing the existence proof. Horst greatly improved this bound on the particle speeds. This article improves