e-Article
Stationary Spherically Symmetric Solutions of the Vlasov–Poisson System in the Three-Dimensional Case.
Document Type
Article
Author
Source
Subject
*VLASOV equation
*DISTRIBUTION (Probability theory)
*STELLAR dynamics
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Language
ISSN
1064-5624
Abstract
We consider the three-dimensional stationary Vlasov–Poisson system of equations with respect to the distribution function of the gravitating matter , the local density , and the Newtonian potential , where , ( are the space–velocity coordinates), and f is a function q of the local energy . For a given function , we obtain sufficient conditions for p to be "extendable." This means that there exists a stationary spherically symmetric solution of the Vlasov–Poisson system depending on the local energy E such that ρ = p. [ABSTRACT FROM AUTHOR]