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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2019, Number 6, Pages 55–57 (Mi vmumm3642)  
This article is cited in 6 scientific papers (total in 6 papers)

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Asymptotic stability of equilibrium states for Carleman and Godunov–Sultangazin systems of equations

S. A. Dukhnovskii

Moscow State University of Civil Engineering
Full-text PDF (271 kB) Citations (6)
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Abstract: One-dimensional systems of Carleman and Godunov–Sultangazin are studied for two and three groups of particles, respectively. These systems are a special case of the discrete Boltzmann kinetic equation. Theorems on existence of global solution to these systems for perturbations in the weighted Sobolev space are presented. Thus, an exponential stabilization to the equilibrium state is obtained.
Key words: Carleman system, Godunov–Sultangazin system, existence theorem, asymptotic stability, Knudsen number.
Received: 19.12.2018
English version:
Moscow University Mathematics Bulletin, 2019, Volume 74, Issue 6, Pages 246–248
DOI: https://doi.org/10.3103/S0027132219060068
Bibliographic databases:
Document Type: Article
UDC: 517.958:531.332
Language: Russian
Citation: S. A. Dukhnovskii, “Asymptotic stability of equilibrium states for Carleman and Godunov–Sultangazin systems of equations”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019, no. 6, 55–57; Moscow University Mathematics Bulletin, 74:6 (2019), 246–248
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Full-text PDF :38
    References:36
    First page:8
     
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