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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2010, Volume 50, Number 2, Pages 268–275 (Mi zvmmf4826)  
This article is cited in 5 scientific papers (total in 5 papers)

On the asymptotic behavior of the solution of a singularly perturbed system of parabolic equations in the critical case

A. V. Nesterova, O. V. Shulikob

a Russian State Social University, ul. V. Pika 4, Moskow, 129226 Russia
b Obninsk State Technical University for Nuclear Power Engineering, Studgorodok 1, Obninsk, Kaluga oblast, 249040 Russia
Full-text PDF (214 kB) Citations (5)
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Abstract: A formal asymptotic representation is constructed for the solution of an initial-boundary value problem for a singularly perturbed system of parabolic equations. A specific feature of the problem is that its solution has an internal transition layer.
Key words: small parameter, singular perturbations, initial-boundary value problems for parabolic equations, asymptotic representation of solutions, transition layer.
Received: 29.04.2009
English version:
Computational Mathematics and Mathematical Physics, 2010, Volume 50, Issue 2, Pages 256–263
DOI: https://doi.org/10.1134/S0965542510020077
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: A. V. Nesterov, O. V. Shuliko, “On the asymptotic behavior of the solution of a singularly perturbed system of parabolic equations in the critical case”, Zh. Vychisl. Mat. Mat. Fiz., 50:2 (2010), 268–275; Comput. Math. Math. Phys., 50:2 (2010), 256–263
Citation in format AMSBIB
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    • This publication is cited in the following 5 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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