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Seminar
FIELD Math:Analysis
DATE February 15 (Mon), 2021
TIME 16:00-18:00
PLACE Online
SPEAKER Klaus, Widmayer
HOST Jeong, In-Jee
INSTITUTE ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE
TITLE On asymptotic stability in the Vlasov-Poisson system
ABSTRACT In this talk we discuss some recent work on the asymptotic stability of two classic equilibria of the Vlasov-Poisson system: vacuum and a point charge. Starting with an overview of the classic theory in these settings (which guarantees the global existence of smooth solutions under suitable conditions on the initial data) we introduce a new approach that combines a Lagrangian analysis of the linearized problem with an Eulerian PDE framework in the nonlinear analysis, all the while respecting the symplectic structure. For sufficiently small data, in both of the above cases the asymptotic behavior is then seen to be a modified scattering dynamic, which we can precisely quantify.
This is joint work with Benoit Pausader (Brown University).
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