## 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.
On the Initial Boundary Value Problem for the Vlasov–Poisson–Boltzmann System
✍ Scribed by Stéphane Mischler
- Publisher
- Springer
- Year
- 2000
- Tongue
- English
- Weight
- 148 KB
- Volume
- 210
- Category
- Article
- ISSN
- 0010-3616
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract This paper deals with existence results for a Vlasov‐Poisson system, equipped with an absorbing‐type law for the Vlasov equation and a Dirichlet‐type boundary condition for the Poisson part. Using the ideas of Lions and Perthame [21], we prove the existence of a weak solution having goo
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
## Abstract In this work, we study the existence of time periodic weak solution for the __N__‐dimensional Vlasov–Poisson system with boundary conditions. We start by constructing time periodic solutions with compact support in momentum and bounded electric field for a regularized system. Then, the
A theorem on the traces of the solutions of initial-boundary value problems for the Boltzmann equation is proved. This result makes it possible to extend a recent theorem of existence proved by I-IAMDACHE to more realistic situations.