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New method of rearrangement for systems of Vlasov-Poisson's type

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If you have a question about this talk, please contact Prof. Clément Mouhot .

I will present a recent method of rearrangement developed in order to obtain the stability of some stationary solutions to systems of Vlasov-Poisson’s type. Indeed by using the rigidity of the flow and this method we proved the orbital stability of a large class of stationary solutions not neccessarily minimizers of a variational problem. In particulary I want to point out the robustness of this method which can be generalized for some others systems. This is joint work with Mohammed Lemou, Florian Méhats and Pierre Raphaël.

This talk is part of the Geometric Analysis & Partial Differential Equations seminar series.

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