About a Variant of the $1d$ Vlasov equation, dubbed “Vlasov-Dirac-Benney Equation"

Bardos, Claude

Séminaire Laurent Schwartz — EDP et applications (2012-2013), Exposé no. 15, 21 p.

This is a report on project initiated with Anne Nouri [3], presently in progress, with the collaboration of Nicolas Besse [2] ([2] is mainly the material of this report) . It concerns a version of the Vlasov equation where the self interacting potential is replaced by a Dirac mass. Emphasis is put on the relations between the linearized version, the full non linear problem and also on natural connections with several other equations of mathematical physic.

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