𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the asymptotic growth of the solutions of the vlasov–poisson system

✍ Scribed by E. Horst

Publisher
John Wiley and Sons
Year
1993
Tongue
English
Weight
361 KB
Volume
16
Category
Article
ISSN
0170-4214

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

We show the global existence of classical solutions of the Vlasov‐Poisson system and improve the known growth estimates.

📜 SIMILAR VOLUMES

Asymptotic growth bounds for the Vlasov–
Asymptotic growth bounds for the Vlasov–Poisson system
✍ Jack Schaeffer 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 210 KB

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

Steady spatial asymptotics for the Vlaso
Steady spatial asymptotics for the Vlasov–Poisson system
✍ Jack Schaeffer 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 161 KB

## 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

Explicit solutions of the one-dimensiona
Explicit solutions of the one-dimensional Vlasov–Poisson system with infinite mass
✍ Stephen Pankavich 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 124 KB

## 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

Time Decay of the Solutions of the Vlaso
Time Decay of the Solutions of the Vlasov–Poisson System in the Plasma Physical Case
✍ Reinhard Illner; Gerhard Rein 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 207 KB 👁 2 views

We introduce a new identity satisfied by solutions of the Vlasov-Poisson system. It has the property that all quantities which appear have a definite sign, and this allows us to prove new results on the time decay of the solutions in the plasma physical case.

Global Existence of Regular Solutions fo
Global Existence of Regular Solutions for the Vlasov–Poisson–Fokker–Planck System
✍ Kosuke Ono 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 100 KB

We study the global existence and uniqueness of regular solutions to the Cauchy problem for the Vlasov-Poisson-Fokker-Planck system. Two existence theorems for regular solutions are given under slightly different initial conditions. One of them completely includes the results of P.