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…
gr-qc2024
Oppenheimer-Snyder type collapse for a collisionless gas
Håkan Andréasson, Gerhard Rein
In 1939, Oppenheimer and Snyder showed that the continued gravitational collapse of a self-gravitating matter distribution can result in the formation of a black hole, cf.~ \cite{O…
math.AP2024
Quantitative phase mixing for Hamiltonians with trapping
Mahir HadžiÄ, Gerhard Rein, Matthew Schrecker +1
We prove quantitative decay estimates of macroscopic quantities generated by the solutions to linear transport equations driven by a general family of Hamiltonians. The associated…