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- Title
Global Existence to the Vlasov-Poisson System and Propagation of Moments Without Assumption of Finite Kinetic Energy.
- Authors
Chen, Zili; Zhang, Xianwen
- Abstract
We consider classical as well as weak solutions to the three dimensional Vlasov-Poisson system. Without assuming finiteness of kinetic energy, we prove global existence of classical solutions by assuming the initial datum is smooth enough and has a compact velocity-spatial support, which will be specified in Theorem 1.1. We also establish some propagation results for low moments of weak solutions.
- Subjects
EXISTENCE theorems; VLASOV equation; POISSON'S equation; MOMENT problems (Mathematics); KINETIC energy; MATHEMATICS theorems
- Publication
Communications in Mathematical Physics, 2016, Vol 343, Issue 3, p851
- ISSN
0010-3616
- Publication type
Article
- DOI
10.1007/s00220-016-2616-9