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
来源：
COMMUNICATIONS IN MATHEMATICAL SCIENCES | 2008年 / 6卷 / 03期
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.
引用
收藏
页码：711 / 727
页数：17
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