Geodesic
Bogolyubov~(BBGKY) hierarchy in classical relativistic electrodynamics
Teoretičeskaâ i matematičeskaâ fizika, Tome 76 (1988) no. 3, pp. 393-400

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A kinetic equation that is a relativistic generalization of the Bogolyubov equation for charged particles is obtained. It is shown that in special limiting cases this equation is identical to the relativistic Vlasov and Belyaev–Budker equations. 
@article{TMF_1988_76_3_a7,
     author = {P. A. Polyakov},
     title = {Bogolyubov~(BBGKY) hierarchy in classical relativistic electrodynamics},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {393--400},
     publisher = {mathdoc},
     volume = {76},
     number = {3},
     year = {1988},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1988_76_3_a7/}
}
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P. A. Polyakov. Bogolyubov~(BBGKY) hierarchy in classical relativistic electrodynamics. Teoretičeskaâ i matematičeskaâ fizika, Tome 76 (1988) no. 3, pp. 393-400. http://geodesic.mathdoc.fr/item/TMF_1988_76_3_a7/