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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 8, Pages 1356–1364 (Mi zvmmf264)  
This article is cited in 12 scientific papers (total in 12 papers)

On the formation of sharp transition layers in two-dimensional reaction-diffusion models

V. T. Volkov, N. E. Grachëv, N. N. Nefedov, A. N. Nikolaev

Faculty of Physics, Moscow State University, Leninskie gory, Moscow, 119992, Russia
Full-text PDF (927 kB) Citations (12)
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Abstract: For a singularly perturbed parabolic equation in two dimensions, the formation of a solution with a sharp transition layer from a sufficiently general initial function is considered. An asymptotic analysis is used to estimate the time required for the formation of a contrast structure. Numerical results are presented.
Key words: two-dimensional reaction-diffusion models, asymptotic solution method, formation of contrast structures in solutions, numerical study.
Received: 09.01.2007
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 8, Pages 1301–1309
DOI: https://doi.org/10.1134/S0965542507080088
Bibliographic databases:
Document Type: Article
UDC: 519.633.8
Language: Russian
Citation: V. T. Volkov, N. E. Grachëv, N. N. Nefedov, A. N. Nikolaev, “On the formation of sharp transition layers in two-dimensional reaction-diffusion models”, Zh. Vychisl. Mat. Mat. Fiz., 47:8 (2007), 1356–1364; Comput. Math. Math. Phys., 47:8 (2007), 1301–1309
Citation in format AMSBIB
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\by V.~T.~Volkov, N.~E.~Grach\"ev, N.~N.~Nefedov, A.~N.~Nikolaev
\paper On the formation of sharp transition layers in two-dimensional reaction-diffusion models
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2007
\vol 47
\issue 8
\pages 1356--1364
\mathnet{http://mi.mathnet.ru/zvmmf264}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2378181}
\elib{https://elibrary.ru/item.asp?id=13562606}
\transl
\jour Comput. Math. Math. Phys.
\yr 2007
\vol 47
\issue 8
\pages 1301--1309
\crossref{https://doi.org/10.1134/S0965542507080088}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34548449362}
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:53
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