V. V. Vedenyapin, D. A. Kogtenev, “On Derivation and Properties of Vlasov-type equations”, Keldysh Institute preprints, 2023,020, 18 pp.

On Derivation and Properties of Vlasov-type equations

V. V. Vedenyapin, D. A. Kogtenev

Abstract: Derivation of the gravity and electrodynamics equations in the Vlasov-Maxwell-Einstein form is considered. Properties of Vlasov-Poisson equation and its application to construction of periodic solutions – Bernstein-Greene-Kruskal waves – are considered.

Keywords: Vlasov-type equations, hydrodynamic substitution, Schwarzschild problem.

DOI: 10.20948/prepr-2023-20