𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A Vlasov–Poisson plasma model with non-L1 data

✍ Scribed by S. Caprino

Book ID
102512981
Publisher
John Wiley and Sons
Year
2004
Tongue
English
Weight
149 KB
Volume
27
Category
Article
ISSN
0170-4214

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

It is considered the Vlasov–Poisson equation for a plasma confined in an unbounded cylinder and it is proven an existence and uniqueness result for non‐L~1~ (but almost L~1~) initial charge distribution. Copyright © 2004 John Wiley & Sons, Ltd.

📜 SIMILAR VOLUMES

On the Vlasov–Poisson–Fokker–Planck Equa
On the Vlasov–Poisson–Fokker–Planck Equations with Measures in Morrey Spaces as Initial Data
✍ José A Carrillo; Juan Soler 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 276 KB

In this paper the existence of weak solutions, local and global in time solutions for small initial distribution of particles, for the three-dimensional Vlasov᎐ Poisson᎐Fokker᎐Planck system with measures as initial data is obtained. Also, the uniqueness and stability for these solutions is analysed.

On the initial value problem for the Vla
On the initial value problem for the Vlasov-Poisson-Fokker-Planck system with initial data in Lp spaces
✍ José A. Carrillo; Juan Soler 📂 Article 📅 1995 🏛 John Wiley and Sons 🌐 English ⚖ 656 KB

## Abstract In this paper the global existence of weak solutions for the Vlasov‐Poisson‐Fokker‐Planck equations in three dimensions is proved with an __L__^1^ ∩ __L^p^__ initial data. Also, the global existence of weak solutions in four dimensions with small initial data is studied. A convergence o