1307.1925 (Laurent Desvillettes et al.)

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

Laurent Desvillettes, Evelyne Miot, Chiara Saffirio

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.

View original: http://arxiv.org/abs/1307.1925