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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 8, Pages 1423–1432 (Mi zvmmf428)  
This article is cited in 11 scientific papers (total in 11 papers)

Regularization of a two-dimensional singularly perturbed parabolic problem

A. S. Omuraliev

Kyrgyz-Turkish Manas University, pr. Mira 56, Bishkek, 720044, Kyrgyzstan
Full-text PDF (965 kB) Citations (11)
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Abstract: A regularized asymptotic expansion of the solution to a singularly perturbed two-dimensional parabolic problem in domains with boundaries containing corner points is constructed. The asymptotics of solutions to such problems contain ordinary boundary-layer functions, parabolic boundary-layer functions, and their products, which describe a corner boundary layer.
Key words: singularly perturbed parabolic problems, parabolic boundary layer, regularized asymptotics.
Received: 29.07.2004
Revised: 21.12.2005
English version:
Computational Mathematics and Mathematical Physics, 2006, Volume 46, Issue 8, Pages 1349–1358
DOI: https://doi.org/10.1134/S0965542506080070
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: A. S. Omuraliev, “Regularization of a two-dimensional singularly perturbed parabolic problem”, Zh. Vychisl. Mat. Mat. Fiz., 46:8 (2006), 1423–1432; Comput. Math. Math. Phys., 46:8 (2006), 1349–1358
Citation in format AMSBIB
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\by A.~S.~Omuraliev
\paper Regularization of a~two-dimensional singularly perturbed parabolic problem
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2006
\vol 46
\issue 8
\pages 1423--1432
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2287360}
\elib{https://elibrary.ru/item.asp?id=9294583}
\transl
\jour Comput. Math. Math. Phys.
\yr 2006
\vol 46
\issue 8
\pages 1349--1358
\crossref{https://doi.org/10.1134/S0965542506080070}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33748313177}
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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