## 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
✦ LIBER ✦
The Orbital Stability of the Ground States and the Singularity Formation for the Gravitational Vlasov Poisson System
✍ Scribed by Mohammed Lemou; Florian Méhats; Pierre Raphael
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 472 KB
- Volume
- 189
- Category
- Article
- ISSN
- 0003-9527
No coin nor oath required. For personal study only.
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## 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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