About a Variant of the Vlasov equation, dubbed “Vlasov-Dirac-Benney Equation"
Séminaire Laurent Schwartz — EDP et applications (2012-2013), Talk no. 15, 21 p.
See the original proceeding notice from the Numdam source
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.
Bardos, Claude. About a Variant of the $1d$ Vlasov equation, dubbed “Vlasov-Dirac-Benney Equation". Séminaire Laurent Schwartz — EDP et applications (2012-2013), Talk no. 15, 21 p.. doi: 10.5802/slsedp.42
@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},
pages = {1--21},
year = {2012-2013},
publisher = {Institut des hautes \'etudes scientifiques & Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique},
doi = {10.5802/slsedp.42},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.5802/slsedp.42/}
}
TY - JOUR AU - Bardos, Claude TI - About a Variant of the $1d$ Vlasov equation, dubbed “Vlasov-Dirac-Benney Equation" JO - Séminaire Laurent Schwartz — EDP et applications N1 - talk:15 PY - 2012-2013 SP - 1 EP - 21 PB - Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique UR - http://geodesic.mathdoc.fr/articles/10.5802/slsedp.42/ DO - 10.5802/slsedp.42 LA - en ID - SLSEDP_2012-2013____A15_0 ER -
%0 Journal Article %A Bardos, Claude %T About a Variant of the $1d$ Vlasov equation, dubbed “Vlasov-Dirac-Benney Equation" %J Séminaire Laurent Schwartz — EDP et applications %Z talk:15 %D 2012-2013 %P 1-21 %I Institut des hautes études scientifiques & Centre de mathématiques Laurent Schwartz, École polytechnique %U http://geodesic.mathdoc.fr/articles/10.5802/slsedp.42/ %R 10.5802/slsedp.42 %G en %F SLSEDP_2012-2013____A15_0
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