23 citations · 85 across the 21 of their papers we have counts for
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Exact solutions for the relativistic dynamics of a self-consistent system with electromagnetic and gravitational interaction within the Wigner-Vlasov formalism
E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva +1
This work derives exact solutions to the problem of interacting particle density evolution in relativistic and quasi-relativistic approximations for electromagnetic and gravitation…
Investigation of the dynamics of transverse oscillations of a vertical rod under gravity, friction, and thermal expansion
E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva +1
The paper considers the mathematical formulation of the problem of transverse oscillations of a vertical rod under gravity, friction and external pulse effect, leading to thermal e…
Dispersion chain of Vlasov equations
E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva +1
On the basis of the Vlasov chain of equations, a new infinite dispersion chain of equations is obtained for the distribution functions of mixed higher order kinematical values. In…
Universal density matrix for the phase space
E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva +1
In this paper, a new representation of the Wigner function for a quantum system in the phase space is proposed. The new representation is of the form $W=\operatorname{Sp}\left[ ρ\m…
Solution of the nonlinear equation of a divergent type in the corner point domain
E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva
The algorithm for generation of exact solutions of the nonlinear equation in partial derivatives of a divergent type which is included in the formulation of magnetostatics, hydro-a…
The properties of the first equation of the Vlasov chain of equations
E. E. Perepelkin, B. I. Sadovnikov, N. G. Inozemtseva
A mathematically rigorous derivation of the first Vlasov equation as a well-known Schrödinger equation for the probabilistic description of a system and families of the classic dif…