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, 2020, Volume 176, Pages 91–94
DOI: https://doi.org/10.36535/0233-6723-2020-176-91-94 (Mi into590) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Painlevé test and a self-similar solution of the kinetic model

S. A. Dukhnovskii

Moscow State University of Civil Engineering
Full-text PDF (155 kB) Citations (4)
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DOI: https://doi.org/10.36535/0233-6723-2020-176-91-94
Abstract: We study a one-dimensional system of equations for a discrete gas model (McKean system). The McKean system is the Boltzmann kinetic equation of a model one-dimensional gas consisting of two groups of particles. Under certain conditions on a singularity variety, the system passes the Painlevé test. In addition, the kinetic system admits a reduction to a system of ordinary differential equations for which the Painlevé test is performed and it becomes possible to find a solution.
Keywords: Painlevé test, self-similar solution, McKean system.
Bibliographic databases:
Document Type: Article
UDC: 517.958:531.332
MSC: 35L45, 35L60, 35Q20
Language: Russian
Citation: S. A. Dukhnovskii, “Painlevé test and a self-similar solution of the kinetic model”, Proceedings of the XVII All-Russian Youth School-Conference «Lobachevsky Readings-2018», November 23-28, 2018, Kazan. Part 2, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 176, VINITI, Moscow, 2020, 91–94
Citation in format AMSBIB
\Bibitem{Duk20}
\by S.~A.~Dukhnovskii
\paper Painlev\'e test and a self-similar solution of the kinetic model
\inbook Proceedings of the XVII All-Russian Youth School-Conference «Lobachevsky Readings-2018»,
November 23-28, 2018, Kazan. Part 2
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2020
\vol 176
\pages 91--94
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into590}
\crossref{https://doi.org/10.36535/0233-6723-2020-176-91-94}
\elib{https://elibrary.ru/item.asp?id=42904380}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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