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

Chiara Saffirio; Evelyne Miot; Laurent Desvillettes

arxiv: 1307.1925 · v2 · pith:LRDDUVGMnew · submitted 2013-07-07 · 🧮 math-ph · math.AP· math.MP

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

Laurent Desvillettes , Evelyne Miot , Chiara Saffirio This is my paper

classification 🧮 math-ph math.APmath.MP

keywords momentsboundeddensityvlasov-poissoncasechargeconstituteddata

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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 [6] for the Vlasov-Poisson equation. Our techniques also provide polynomially growing in time estimates for moments of the bounded density.

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

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