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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1990, Volume 30, Number 2, Pages 254–269 (Mi zvmmf3308)  
This article is cited in 4 scientific papers (total in 4 papers)

Asymptotic behaviour of rapidly oscillating contrasting spatial structures

S. A. Kashchenko

Yaroslavl'
Full-text PDF (1780 kB) Citations (4)
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Abstract: The asymptotic behaviour of equilibria that rapidly oscillate in the spatial coordinate in a system of two nonlinear parabolic equations with a sufficiently small diffusion coefficient in one of them is investigated. The normalization method is applied to show that the local dynamics of the original system with a small parameter multiplying one of the high-order derivatives is determined by the non-local behaviour of the solutions of a family of special boundary-value problems that are independent of the small parameter.
Received: 22.12.1988
English version:
USSR Computational Mathematics and Mathematical Physics, 1990, Volume 30, Issue 1, Pages 186–197
DOI: https://doi.org/10.1016/0041-5553(90)90028-Q
Bibliographic databases:
Document Type: Article
UDC: 517.958
MSC: Primary 35B25; Secondary 35B30, 35K57
Language: Russian
Citation: S. A. Kashchenko, “Asymptotic behaviour of rapidly oscillating contrasting spatial structures”, Zh. Vychisl. Mat. Mat. Fiz., 30:2 (1990), 254–269; U.S.S.R. Comput. Math. Math. Phys., 30:1 (1990), 186–197
Citation in format AMSBIB
\Bibitem{Kas90}
\by S.~A.~Kashchenko
\paper Asymptotic behaviour of rapidly oscillating contrasting spatial structures
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1990
\vol 30
\issue 2
\pages 254--269
\mathnet{http://mi.mathnet.ru/zvmmf3308}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1045423}
\zmath{https://zbmath.org/?q=an:0709.35005}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1990
\vol 30
\issue 1
\pages 186--197
\crossref{https://doi.org/10.1016/0041-5553(90)90028-Q}
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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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