Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2024, Volume 232, Pages 153–157
DOI: https://doi.org/10.36535/2782-4438-2024-232-153-157 (Mi into1273) 		 
Group analysis of the McKean system

S. A. Dukhnovskii
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DOI: https://doi.org/10.36535/2782-4438-2024-232-153-157
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
Document Type: Article
UDC: 517.958:531.332
MSC: 5L02, 35L60, 35Q20
Language: Russian
Citation: S. A. Dukhnovskii, “Group analysis of the McKean system”, Proceedings of the Voronezh international spring mathematical school "Modern methods of the theory of boundary-value problems. Pontryagin readings—XXXIV", Voronezh, May 3-9, 2023, Part 3, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 232, VINITI, Moscow, 2024, 153–157
Citation in format AMSBIB
\Bibitem{Duk24}
\by S.~A.~Dukhnovskii
\paper Group analysis of the McKean system
\inbook Proceedings of the Voronezh international spring mathematical school "Modern methods of the theory of boundary-value problems. Pontryagin readings—XXXIV", Voronezh, May 3-9, 2023, Part 3
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2024
\vol 232
\pages 153--157
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1273}
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