## 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
Weak solutions of the initial-boundary value problem for the Vlasov–Poisson system
✍ Scribed by Naoufel Ben Abdallah
- Publisher
- John Wiley and Sons
- Year
- 1994
- Tongue
- English
- Weight
- 979 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0170-4214
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✦ Synopsis
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.
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