Mass-radius spirals for steady state families of the Vlasov-Poisson system

DOI10.1007/s00205-017-1098-zzbMath1369.35095arXiv1602.06151OpenAlexW3101839184MaRDI QIDQ524318

Tobias Ramming, Gerhard Rein

Publication date: 2 May 2017

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.06151

zbMATH Keywords

spherical symmetryEinstein-Vlasov systemspiral structurestationary Vlasov-Poisson system

Mathematics Subject Classification ID

Asymptotic expansions of solutions to PDEs (35C20) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Galactic and stellar dynamics (85A05) Einstein equations (35Q76) Vlasov equations (35Q83) Euler equations (35Q31) PDEs in connection with astronomy and astrophysics (35Q85)

Related Items (2)

Stability and instability results for equilibria of a (relativistic) self-gravitating collisionless gas—a review ⋮ Turning point principle for relativistic stars

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Orbital stability of spherical galactic models
• Galactic dynamics in MOND -- existence of equilibria with finite mass and compact support
• Stationary spherically symmetric models in stellar dynamics
• Symmetry and related properties via the maximum principle
• Nonlinear stability of gaseous stars
• A non-variational approach to nonlinear stability in stellar dynamics applied to the King model
• Reduction and a Concentration-Compactness Principle for Energy-Casimir Functionals
• Spherically Symmetric Equilibria for Self-Gravitating Kinetic or Fluid Models in the Nonrelativistic and Relativistic Case---A Simple Proof for Finite Extension
• Theory of Newtonian self-gravitating stationary spherically symmetric systems
• On the steady states of the spherically symmetric Einstein–Vlasov system
• Compact support of spherically symmetric equilibria in non-relativistic and relativistic galactic dynamics
• On the small redshift limit of steady states of the spherically symmetric Einstein–Vlasov system and their stability
• Stability for the spherically symmetric Einstein–Vlasov system–a coercivity estimate
• A numerical investigation of the stability of steady states and critical phenomena for the spherically symmetric Einstein–Vlasov system

This page was built for publication: Mass-radius spirals for steady state families of the Vlasov-Poisson system