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

@article{SLSEDP_2012-2013____A15_0,
     author = {Bardos, Claude},
     title = {About a Variant of the $1d$ Vlasov equation, dubbed {\textquotedblleft}Vlasov-Dirac-Benney Equation"},
     journal = {S\'eminaire Laurent Schwartz {\textemdash} EDP et applications},
     note = {talk:15},
     publisher = {Institut des hautes \'etudes scientifiques & Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
     year = {2012-2013},
     doi = {10.5802/slsedp.42},
     language = {en},
     url = {http://archive.numdam.org/articles/10.5802/slsedp.42/}
}
Bardos, Claude. About a Variant of the $1d$ Vlasov equation, dubbed “Vlasov-Dirac-Benney Equation". Séminaire Laurent Schwartz — EDP et applications (2012-2013), Exposé no. 15, 21 p. doi : 10.5802/slsedp.42. http://archive.numdam.org/articles/10.5802/slsedp.42/

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