Stability for the spherically symmetric Einstein–Vlasov system–a coercivity estimate

DOI10.1017/S030500411300056XzbMath1285.83006arXiv1205.6198MaRDI QIDQ5401539

Mahir Hadžić, Gerhard Rein

Publication date: 10 March 2014

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.6198

zbMATH Keywords

stabilityHamiltonian approachVlasov-Poisson systemEinstein-Vlasov systemcoercivity estimate

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics) (37N20) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Initial value problems for second-order hyperbolic equations (35L15) Stability and instability of geophysical and astrophysical flows (76E20)

Related Items (9)

The Einstein-Vlasov system in maximal areal coordinates-local existence and continuation ⋮ Static Solutions to the Spherically Symmetric Einstein–Vlasov System: A Particle Number–Casimir Approach ⋮ Stability and instability results for equilibria of a (relativistic) self-gravitating collisionless gas—a review ⋮ Uniqueness of static, isotropic low-pressure solutions of the Einstein-Vlasov system ⋮ On the small redshift limit of steady states of the spherically symmetric Einstein–Vlasov system and their stability ⋮ A numerical stability analysis for the Einstein–Vlasov system ⋮ Mass-radius spirals for steady state families of the Vlasov-Poisson system ⋮ Stability and instability of self-gravitating relativistic matter distributions ⋮ A Birman–Schwinger principle in galactic dynamics: ESI, Vienna, 07–11 February 2022

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