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- Title
Global weak solutions for the Vlasov-Poisson system with a point charge.
- Authors
Chen, Jing; Zhang, Xianwen; Wei, Jinbo
- Abstract
We study the dynamics of three-dimensional Vlasov-Poisson system in the presence of a point charge with attractive interaction. Compared to the repulsive interaction, we cannot get a priori conversation law. Nevertheless, we are able to obtain bound of kinetic energy by introducing a Lyapunov functional. Combining this result with the concept of Diperna-Lions flow, we establish global existence of weak solutions for this system.
- Subjects
VLASOV equation; DIFFERENTIAL equations; PLASMA dynamics; KINETIC energy; LYAPUNOV functions
- Publication
Mathematical Methods in the Applied Sciences, 2015, Vol 38, Issue 17, p3776
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.3316