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The Vlasov–Poisson System with Infinite Mass and Energy

✍ Scribed by Pierre-Emmanuel Jabin

Book ID
110289153
Publisher
Springer
Year
2001
Tongue
English
Weight
121 KB
Volume
103
Category
Article
ISSN
0022-4715

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📜 SIMILAR VOLUMES

Local existence for the one-dimensional
Local existence for the one-dimensional Vlasov–Poisson system with infinite mass
✍ Stephen Pankavich 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 161 KB

## 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

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

Non-linear stability for the Vlasov–Pois
Non-linear stability for the Vlasov–Poisson system—the energy-Casimir method
✍ Gerhard Rein 📂 Article 📅 1994 🏛 John Wiley and Sons 🌐 English ⚖ 527 KB

## Abstract The problem of stability of stationary solutions of the Vlasov–Poisson system has received a lot of attention in the physics literature, both in the stellar dynamics and the plasma physics cases. The energy‐Casimir method has been used to prove non‐linear stability for various conservat