Numerics of the Spherically Symmetric Stationary Vlasov-Poisson System

Yana Staneva (University of Cologne)

Friday 6th March, 2020 14:00-15:00 Maths 311B

Abstract

Configurations of stellar systems are described by density distribution functions on phase space $f \geq 0$. When collisions between the stellar objects are sufficiently rare, the distribution function satisfies the Vlasov-Poisson system. Steady states are obtained via a suitable ansatz $f = \phi (E, L)$, where $E$ is the energy and $L$ the angular momentum, both integrals of motion. We discuss some numerical results obtained due to the Compact-Support-Lemma by T.Ramming and G. Rein which characterizes the conditions on $\phi$ that ensure the finite mass and compact support of the resulting steady states.