Global weak solutions of kinetic equations. (English) Zbl 0813.35087

This paper is a unified review of some results of the authors recently published. They deal with the existence and various properties of weak solutions of kinetic equations. The presentation includes Boltzmann, Vlasov-Poisson, Vlasov-Maxwell, Fokker-Planck equations. The various notions of solutions are explained, existence and stability results are given and the main ingredients of the proofs are outlined.
Reviewer: F.Rosso (Firenze)


35Q35 PDEs in connection with fluid mechanics
76P05 Rarefied gas flows, Boltzmann equation in fluid mechanics
35Q60 PDEs in connection with optics and electromagnetic theory