Abstract
We consider the three-dimensional stationary Vlasov-Poisson system of equations with respect to the distribution function of the gravitating matter f = f(q)(r, u), the local density rho = rho(r) , and the Newtonian potential, U = U(r), where r: = vertical bar x vertical bar, u : vertical bar v vertical bar ((x, v) is an element of R-3 x R-3 are the space-velocity coordinates), and f is a function q of the local energy E: = u(r) + u(2)/2. For a given function p = p(r), we obtain sufficient conditions for p to be "extendable." This means that there exists a stationary spherically symmetric solution (f(q), rho, U) of the Vlasov-Poisson system depending on the local energy E such that rho=p.
Item Type: | Journal article |
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Faculties: | Mathematics, Computer Science and Statistics > Mathematics |
Subjects: | 500 Science > 510 Mathematics |
ISSN: | 1064-5624 |
Language: | English |
Item ID: | 88955 |
Date Deposited: | 25. Jan 2022 09:28 |
Last Modified: | 13. Aug 2024 12:44 |