## Abstract A collisionless plasma is modelled by the Vlasov–Poisson system in three space dimensions. A fixed background of positive charge, which is independent of time and space, is assumed. The situation in which mobile negative ions balance the positive charge as ∣__x__∣ tends to infinity is c
Asymptotic growth bounds for the Vlasov–Poisson system
✍ Scribed by Jack Schaeffer
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 210 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1354
No coin nor oath required. For personal study only.
✦ Synopsis
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 it further.
📜 SIMILAR VOLUMES
## Abstract We show the global existence of classical solutions of the Vlasov‐Poisson system and improve the known growth estimates.
Time-discrete variational schemes are introduced for both the Vlasov}Poisson}Fokker}Planck (VPFP) system and a natural regularization of the VPFP system. The time step in these variational schemes is governed by a certain Kantorovich functional (or scaled Wasserstein metric). The discrete variationa
## Abstract In this paper the time decay rates for the solutions to the Schrödinger–Poisson system in the repulsive case are improved in the context of semiconductor theory. Upper and lower estimates are obtained by using a norm involving the potential energy and the dispersion equation. In the att