Dispersion chain of Vlasov equations and conservation laws
Seminars
Laboratory of Information Technologies
Seminar of the scientific department of computational physics
Date and Time: Wednesday, 20 April 2022, at 3:00 PM
Venue: room 310, Laboratory of Information Technologies; online seminar on Webex
Seminar topic: “Dispersion chain of Vlasov equations and conservation laws”
Authors: E. E. Perepelkin1, 2, B. I. Sadovnikov2, I. I. Alexandrov2, N. G. Inozemtseva3, R. V. Polyakova1
1 – JINR
2 – Lomonosov Moscow State University
3 – MTUCI (Moscow Technical University of Communications and Informatics)
Speaker: E. E. Perepelkin
Abstract:
On the basis of the chain of Vlasov equations, a new infinite dispersion chain of equations is obtained for the distribution functions of mixed higher order kinematical values. In contrast to the Vlasov chain, the dispersion chain contains distribution functions with an arbitrary set of kinematical values and has a tensor form of writing. For the dispersion chain, new equations for mixed Boltzmann functions and the corresponding chain of conservation laws for fluid dynamics are obtained. The conservation of the area of the phase region, in which the quasi-probability density (Wigner function) has negative values, is proved.