The global nonlinear stability of Minkowski space for the massless Einstein-Vlasov system

From MaRDI portal
Publication:1661403

DOI10.1007/s40818-017-0026-8zbMath1471.35270arXiv1602.02611OpenAlexW2264738337WikidataQ59614939 ScholiaQ59614939MaRDI QIDQ1661403

Y. Aharonov

Publication date: 16 August 2018

Published in: Annals of PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.02611




Related Items (44)

Stability of vacuum for the Boltzmann equation with moderately soft potentialsAn introduction to the relativistic kinetic theory on curved spacetimesGlobal nonlinear stability of large dispersive solutions to the Einstein equationsThe Einstein-Vlasov system in maximal areal coordinates-local existence and continuationA vector field method for relativistic transport equations with applicationsPropagation of regularity and long time behavior of \(3D\) Massive relativistic transport equation I: Vlasov-Nordström systemVeiled singularities for the spherically symmetric massless Einstein-Vlasov systemDecay estimates for the massless Vlasov equation on Schwarzschild spacetimesGlobal stability of Minkowski space for the Einstein-Maxwell-Klein-Gordon system in generalized wave coordinatesStability and instability results for equilibria of a (relativistic) self-gravitating collisionless gas—a reviewExterior stability of Minkowski space in generalized harmonic gaugeThe constraint equations of the Einstein-Vlasov-Maxwell system in the maximal-isotropic coordinatesStable cosmologies with collisionless charged matterFuture stability of expanding spatially homogeneous FLRW solutions of the spherically symmetric Einstein–massless Vlasov system with spatial topology R3The Vlasov–Poisson–Landau system in the weakly collisional regimeExistence globale de solutions au système sphériquement symétrique de Einstein-Vlasov-MaxwellA proof of the instability of AdS for the Einstein-massless Vlasov systemStability of vacuum for the Landau equation with hard potentialsGlobal existence of solutions to the spherically symmetric Einstein-Vlasov-Maxwell systemRecent progress in general relativityA proof of the instability of AdS for the Einstein-null dust system with an inner mirrorKantowski–Sachs cosmology with Vlasov matterFuture stability of the 1  +  3 Milne model for the Einstein–Klein–Gordon systemPhase space mixing in an external gravitational central potentialA numerical stability analysis for the Einstein–Vlasov systemDynamics of gravitational collapse in the axisymmetric Einstein–Vlasov systemMathematical general relativityThe nonvacuum Einstein flow on surfaces of nonnegative curvatureStability of vacuum for the Landau equation with moderately soft potentialsThe asymptotically self-similar regime for the Einstein vacuum equationsA vector field method for massless relativistic transport equations and applicationsStability and instability of self-gravitating relativistic matter distributionsThe stability of the Minkowski space for the Einstein-Vlasov systemThe stability of the Minkowski space for the Einstein-Vlasov systemStatic spherically symmetric Einstein-Vlasov bifurcations of the Schwarzschild spacetimeGlobal stability of Minkowski space for the Einstein-Vlasov system in the harmonic gaugeAttractors of the Einstein-Klein-Gordon systemAsymptotic stability of Minkowski space-time with non-compactly supported massless Vlasov matterVector field methods for kinetic equations with applications to classical and relativistic systemsPropagation of regularity and long time behavior of the \(3D\) Massive relativistic transport equation. II: Vlasov-Maxwell systemThe conformal Einstein field equations with massless Vlasov matterOn the future of solutions to the massless Einstein-Vlasov system in a Bianchi I cosmologyNonlinear stability of the Milne model with matterPhase mixing for solutions to 1D transport equation in a confining potential



Cites Work


This page was built for publication: The global nonlinear stability of Minkowski space for the massless Einstein-Vlasov system