Lions, Pierre-Louis On kinetic equations. (English) Zbl 0806.35143 Proc. Int. Congr. Math., Kyoto/Japan 1990, Vol. II, 1173-1185 (1991). From the introduction: We review some recent progress on various kinetic equations which include the well-known Boltzmann equation and also Vlasov models like Vlasov-Poisson or Vlasov Maxwell systems.For the entire collection see [Zbl 0741.00020]. Cited in 9 Documents MSC: 35Q35 PDEs in connection with fluid mechanics 76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics 82C22 Interacting particle systems in time-dependent statistical mechanics 35Q60 PDEs in connection with optics and electromagnetic theory Keywords:Vlasov-Poisson-Boltzmann equation; evolution of a large number of particles; Boltzmann equation; Vlasov models; Vlasov Maxwell systems PDF BibTeX XML Cite \textit{P.-L. Lions}, in: Proceedings of the international congress of mathematicians (ICM), August 21-29, 1990, Kyoto, Japan. Volume II. Tokyo etc.: Springer-Verlag. 1173--1185 (1991; Zbl 0806.35143)