3 papers
math.AP2024
Steady states of the spherically symmetric Vlasov-Poisson system as fixed points of a mass-preserving algorithm
Håkan Andréasson, Markus Kunze, Gerhard Rein
We give a new proof for the existence of spherically symmetric steady states to the Vlasov-Poisson system, following a strategy that has been used successfully to approximate axial…
math.AP2024
Existence of a minimizer to the particle number-Casimir functional for the Einstein-Vlasov system
Håkan Andréasson, Markus Kunze
In 2001 Wolansky \cite{Wol} introduced a particle number-Casimir functional for the Einstein-Vlasov system. Two open questions are associated with this functional. First, a meaning…
gr-qc2023
Proof of the Einstein quadrupole formula for solutions of the Einstein-Vlasov system close to Minkowski spacetime
Érik Amorim, Håkan Andréasson, Markus Kunze
We rigorously derive the quadrupole formula within the context of the Einstein-Vlasov system. The main contribution of this work is an estimate of the remainder terms, derived from…