Stationary Spherically Symmetric Solutions of the Vlasov–Poisson System in the Three-Dimensional Case

Abstract: We consider the three-dimensional stationary Vlasov–Poisson system of equations with respect to the distribution function of the gravitating matter f=fq(r,u), the local density ρ=ρ(r), and the Newtonian potential U=U(r), where r:=|x|, u:= |v| ((x,v)ε ℝ3ℝ3 are the space–velocity coordinates), and f is a function q of the local energy E:= U(r) + u2/2. For a given function ρ=ρ(r), we obtain sufficient conditions for p to be “extendable.” This means that there exists a stationary spherically symmetric solution (fq,ρ,U) of the Vlasov–Poisson system depending on the local energy E such that ρ=ρ. © 2020, Pleiades Publishing, Ltd.

Авторы
Batt J.1 , Jörn E.1 , Skubachevskii A.L. 2, 3
Журнал
Номер выпуска
1
Язык
Английский
Страницы
265-268
Статус
Опубликовано
Том
102
Год
2020
Организации
  • 1 Mathematisches Institut der Universität München, München, Germany
  • 2 Mathematical Institute of the RUDN University, Moscow, Russian Federation
  • 3 Moscow Center for Fundamental and Applied Mathematics, Moscow, Russian Federation
Ключевые слова
stationary spherically symmetric solution; stellar dynamics; Vlasov–Poisson system
Дата создания
02.11.2020
Дата изменения
02.11.2020
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/64566/