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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2013, Volume 53, Number 9, Pages 1427–1447
DOI: https://doi.org/10.7868/S0044466913090068 (Mi zvmmf9912) 		 
This article is cited in 19 scientific papers (total in 19 papers)

A steplike contrast structure in a singularly perturbed system of elliptic equations

V. F. Butuzov, N. T. Levashova, A. A. Mel'nikova

Faculty of Physics, Lomonosov Moscow State University, Moscow, 119992, Russia
Full-text PDF (289 kB) Citations (19)
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DOI: https://doi.org/10.7868/S0044466913090068
Abstract: A singularly perturbed boundary value problem for a system of elliptic equations in a two-dimensional region is considered. The asymptotics and existence of a solution with an internal transition layer are studied. The asymptotics is justified by the method of differential inequalities.
Key words: singularly perturbed system of elliptic equations, small parameter, asymptotic method of solution.
Received: 15.04.2013
English version:
Computational Mathematics and Mathematical Physics, 2013, Volume 53, Issue 9, Pages 1239–1259
DOI: https://doi.org/10.1134/S0965542513090054
Bibliographic databases:
Document Type: Article
UDC: 519.624.2
Language: Russian
Citation: V. F. Butuzov, N. T. Levashova, A. A. Mel'nikova, “A steplike contrast structure in a singularly perturbed system of elliptic equations”, Zh. Vychisl. Mat. Mat. Fiz., 53:9 (2013), 1427–1447; Comput. Math. Math. Phys., 53:9 (2013), 1239–1259
Citation in format AMSBIB
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    • This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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