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FKTW02 - Frontiers in analysis of kinetic equations

We consider solutions of the (repulsive) Vlasov-Poisson System which are small smooth perturbations of a Dirac mass (i.e. $\mu=\delta+fdxdv$ with $f$ small, localized and smooth).  We show that these solutions are global and decay in time at the optimal rate, and moreover that they undergo modified scattering.  The proof is based on an exact integration of the linearized equation through the use of asymptotic action-angle coordinates.  This is a joint work with Klaus Widmayer (EPFL) and Jiaqi Yang (ICERM).

This talk is part of the Isaac Newton Institute Seminar Series series.

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