1 citations · 1 across the 4 of their papers we have counts for
4 papers
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…
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…
Quantitative phase mixing for Hamiltonians with trapping
Mahir Hadžić, 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…
Time-dependent rescalings and Lyapunov functionals for the Vlasov-Poisson and Euler-Poisson systems, and for related models of kinetic equations, fluid dynamics and quantum physics
Jean Dolbeault, Gerhard Rein
We investigate rescaling transformations for the Vlasov-Poisson and Euler-Poisson systems and derive in the plasma physics case Lyapunov functionals which can be used to analyze di…