Oscillating solutions of the Vlasov-Poisson system -- a numerical investigation

DOI10.1016/j.physd.2017.10.013zbMath1380.35155arXiv1602.07989OpenAlexW2278412998MaRDI QIDQ1700999

Gerhard Rein, Tobias Ramming

Publication date: 22 February 2018

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.07989

zbMATH Keywords

Vlasov-Poisson systemoscillations of galaxies

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Galactic and stellar dynamics (85A05) PDEs in connection with astronomy and astrophysics (35Q85)

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Cites Work

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• Orbital stability of spherical galactic models
• On Landau damping
• Propagation of moments and regularity for the 3-dimensional Vlasov- Poisson system
• Global classical solutions of the Vlasov-Poisson system in three dimensions for general initial data
• Variational method for stable polytropic galaxies
• On spherically symmetric motions of a gaseous star governed by the Euler-Poisson equations
• A non-variational approach to nonlinear stability in stellar dynamics applied to the King model
• Spherically Symmetric Equilibria for Self-Gravitating Kinetic or Fluid Models in the Nonrelativistic and Relativistic Case---A Simple Proof for Finite Extension
• Discrete approximation of the Poisson-Vlasov system
• On the Convergence of Particle Methods for Multidimensional Vlasov–Poisson Systems
• The Convergence Analysis of Fully Discretized Particle Methods for Solving Vlasov–Poisson Systems
• Global existence of smooth solutions to the vlasov poisson system in three dimensions
• A global particular solution to the initial-value problems of stellar dynamics
• A numerical investigation of the stability of steady states and critical phenomena for the spherically symmetric Einstein–Vlasov system
• Isotropic steady states in galactic dynamics