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EXISTENCE OF AXIALLY SYMMETRIC SOLUTIONS TO THE VLASOV-POISSON SYSTEM DEPENDING ON JACOBI'S INTEGRAL
被引:5
|作者:
Schulze, Achim
[1
]
机构:
[1] Univ Bayreuth, Math Inst, D-95440 Bayreuth, Germany
关键词:
Vlasov-Poisson system;
galactic dynamics;
stationary solutions;
D O I:
10.4310/CMS.2008.v6.n3.a9
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
We prove the existence of axially symmetric solutions to the Vlasov-Poisson system in a rotating setting for sufficiently small angular velocity. The constructed steady states depend on Jacobi's integral and the proof relies on an implicit function theorem for operators.
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页码:711 / 727
页数:17
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