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Trudy Moskovskogo Matematicheskogo Obshchestva, 2016, Volume 77, Issue 1, Pages 67–82 (Mi mmo582)  
This article is cited in 3 scientific papers (total in 3 papers)

Local dynamics of two-component singularly perturbed parabolic systems

I. S. Kashchenkoa, S. A. Kashchenkoab

a Yaroslavl' State University
b National Research Nuclear University (Moscow Engineering Physics Institute)
Full-text PDF (286 kB) Citations (3)
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Abstract: We consider the local dynamics in a neighbourhood of a stationary state of a two-component system of parabolic equations with periodic boundary conditions. In the critical cases we construct families of special equations–quasinormal forms whose solutions in principle give asymptotic solutions, up to the residual, of the original singularly perturbed system.
Key words and phrases: parabolic equation, quasinormal form, small parameter.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 984
14.124.13.5948-МК
This research was supported by project no. 984 within the framework of the basic part of the state programme for scientific research of Yaroslavl' State University and a grant from the President of the Russian Federation (contract no. 14.124.13.5948-MK).
Received: 24.03.2014
English version:
Transactions of the Moscow Mathematical Society, 2016, Volume 77, Pages 55–68
DOI: https://doi.org/10.1090/mosc/252
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 35K67
Language: Russian
Citation: I. S. Kashchenko, S. A. Kashchenko, “Local dynamics of two-component singularly perturbed parabolic systems”, Tr. Mosk. Mat. Obs., 77, no. 1, MCCME, M., 2016, 67–82; Trans. Moscow Math. Soc., 77 (2016), 55–68
Citation in format AMSBIB
\Bibitem{KasKas16}
\by I.~S.~Kashchenko, S.~A.~Kashchenko
\paper Local dynamics of two-component singularly perturbed parabolic systems
\serial Tr. Mosk. Mat. Obs.
\yr 2016
\vol 77
\issue 1
\pages 67--82
\publ MCCME
\publaddr M.
\mathnet{http://mi.mathnet.ru/mmo582}
\elib{https://elibrary.ru/item.asp?id=28931383}
\transl
\jour Trans. Moscow Math. Soc.
\yr 2016
\vol 77
\pages 55--68
\crossref{https://doi.org/10.1090/mosc/252}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85002213671}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Trudy Moskovskogo Matematicheskogo Obshchestva
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