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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 12, Pages 2076–2087 (Mi zvmmf212)  
This article is cited in 13 scientific papers (total in 13 papers)

Existence and stability analysis for the Carleman kinetic system

O. V. Ilyin

Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia
Full-text PDF (1746 kB) Citations (13)
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Abstract: A global existence theorem for the discrete Carleman system in the Sobolev class $W^{1,2}$ is proved by the Leray–Schauder topological degree method, which was not previously applied to discrete kinetic equations. The instability of the nonequilibrium steady flow on a bounded interval is established in the linear approximation.
Key words: Carleman kinetic system, solution existence theorem, Leray–Schauder topological degree, stability, Sturm oscillation theorem.
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 12, Pages 1990–2001
DOI: https://doi.org/10.1134/S0965542507120093
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: O. V. Ilyin, “Existence and stability analysis for the Carleman kinetic system”, Zh. Vychisl. Mat. Mat. Fiz., 47:12 (2007), 2076–2087; Comput. Math. Math. Phys., 47:12 (2007), 1990–2001
Citation in format AMSBIB
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\pages 2076--2087
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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