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Polynomial propagation of moments and global existence for a Vlasov–Poisson system with a point charge.

Authors :
Desvillettes, Laurent
Miot, Evelyne
Saffirio, Chiara
Source :
Annales de l'Institut Henri Poincaré C. Mar2015, Vol. 32 Issue 2, p373-400. 28p.
Publication Year :
2015

Abstract

In this paper, we extend to the case of initial data constituted of a Dirac mass plus a bounded density (with finite moments) the theory of Lions and Perthame [8] for the Vlasov–Poisson equation. Our techniques also provide polynomially growing in time estimates for moments of the bounded density. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
02941449
Volume :
32
Issue :
2
Database :
Academic Search Index
Journal :
Annales de l'Institut Henri Poincaré C
Publication Type :
Academic Journal
Accession number :
101939120
Full Text :
https://doi.org/10.1016/j.anihpc.2014.01.001