𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Asymptotic Behavior of an Initial-Boundary Value Problem for the Vlasov--Poisson--Fokker--Planck System

✍ Scribed by Soler, J.; Carrillo, J. A.; Bonilla, L. L.


Book ID
118195186
Publisher
Society for Industrial and Applied Mathematics
Year
1997
Tongue
English
Weight
645 KB
Volume
57
Category
Article
ISSN
0036-1399

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Global weak solutions for the initial–bo
✍ José A. Carrillo 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 254 KB 👁 2 views

This work is devoted to prove the existence of weak solutions of the kinetic Vlasov-Poisson-Fokker-Planck system in bounded domains for attractive or repulsive forces. Absorbing and reflectiontype boundary conditions are considered for the kinetic equation and zero values for the potential on the bo

On the initial value problem for the Vla
✍ 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

Weak solutions of the initial-boundary v
✍ Naoufel Ben Abdallah 📂 Article 📅 1994 🏛 John Wiley and Sons 🌐 English ⚖ 979 KB

## Abstract In this paper we show the existence of a weak solution of the boundary value problem for the time dependent Vlasov–Poisson system. First, we regularize the system in order to apply a fixed‐point theorem. Then we pass to the limit using an energy estimate.