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Séminaire Laurent Schwartz — EDP et applicationsTable of contents for this volume | Previous article | Next articleMohammed Lemou Non linear stability of spherical gravitational systems described by the Vlasov-Poisson equation Séminaire Laurent Schwartz — EDP et applications (2011-2012), Exp. No. 18, 17 p., doi: 10.5802/slsedp.14 Article PDF Résumé - Abstract In this work, we prove the nonlinear stability of galaxy models derived from the three dimensional gravitational Vlasov Poisson system, which is a canonical model in astrophysics to describe the dynamics of galactic clusters. Bibliography [2] Antonov, A. V., Remarks on the problem of stability in stellar dynamics. Soviet Astr., AJ., 4, 859-867 (1961). MR 131633 [3] Antonov, A. V., Solution of the problem of stability of a stellar system with the Emden density law and spherical velocity distribution. J. Leningrad Univ. Se. Mekh. Astro. 7, 135-146 (1962). [4] Arsen’ev, A. 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