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

页码：711 / 727

页数：17

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