Seminar Analysis: Chiara Saffirio (University of Zurich)

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

We consider the Cauchy problem associated to the Vlasov-Poisson system and we extend the well-posedness theory of Lions and Perthame to the case of initial data which include a Dirac mass. Moreover we provide polynomially growing in time estimates for the moments of the solution. This is a joint work with L. Desvillettes and E. Miot.

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