RUS  ENG
Full version
JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive

Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2024 Volume 232, Pages 153–157 (Mi into1273)

Group analysis of the McKean system

S. A. Dukhnovskii


Abstract: In this paper, we examine the kinetic McKean system for two groups of particles. The system represents the Boltzmann kinetic equation, in this model, the momentum and the energy are not conserved. Using methods of group analysis, we obtain a solution representing the density of gas particles. Similarly, exact solutions for other kinetic models can be found.

Keywords: kinetic system McKean, invariant solution, group analysis

UDC: 517.958:531.332

MSC: 5L02, 35L60, 35Q20

DOI: 10.36535/2782-4438-2024-232-153-157



© Steklov Math. Inst. of RAS, 2025