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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 8, Pages 1428–1440
DOI: https://doi.org/10.7868/S0044466916080044 (Mi zvmmf10440) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Asymptotics of the solution to a singularly perturbed elliptic problem with a three-zone boundary layer

V. A. Beloshapko, V. F. Butuzov

Faculty of Physics, Lomonosov Moscow State University, Moscow, Russia
Full-text PDF (315 kB) Citations (5)
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DOI: https://doi.org/10.7868/S0044466916080044
Abstract: For a singularly perturbed elliptic boundary value problem, an asymptotic expansion of the boundary-layer solution is constructed and justified in the case when the boundary layer consists of three zones with different behavior of the solution, which is caused by the multiplicity of the root of the degenerate equation.
Key words: singularly perturbed equations, boundary-layer asymptotics, the case of a multiple root of the degenerate equation, method of differential inequalities.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-04619_а
Received: 08.12.2015
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 8, Pages 1414–1425
DOI: https://doi.org/10.1134/S0965542516080042
Bibliographic databases:
Document Type: Article
UDC: 519.632.34
Language: Russian
Citation: V. A. Beloshapko, V. F. Butuzov, “Asymptotics of the solution to a singularly perturbed elliptic problem with a three-zone boundary layer”, Zh. Vychisl. Mat. Mat. Fiz., 56:8 (2016), 1428–1440; Comput. Math. Math. Phys., 56:8 (2016), 1414–1425
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
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