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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2016, Volume 56, Number 4, Pages 605–624
DOI: https://doi.org/10.7868/S0044466916040074 (Mi zvmmf10372) 		 
This article is cited in 15 scientific papers (total in 15 papers)

Asymptotics of the solution to an initial boundary value problem for a singularly perturbed parabolic equation in the case of a triple root of the degenerate equation

V. F. Butuzov, A. I. Bychkov

Lomonosov Moscow State University, Faculty of Physics
Full-text PDF (323 kB) Citations (15)
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DOI: https://doi.org/10.7868/S0044466916040074
Abstract: For a singularly perturbed parabolic equation, asymptotics of the solution to an initial boundary value problem in the case of a triple root of the degenerate equation is constructed and justified. Essential distinctions from the case of a simple root are the scale of the boundary layer variables and the three-zone structure of the boundary layer.
Key words: singularly perturbed parabolic equations, boundary layer asymptotics, the case of a triple root of the degenerate equation.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-04619_а
This work was supported by the Russian Foundation for Basic Research, project no. 15-01-04619.
Received: 25.09.2015
English version:
Computational Mathematics and Mathematical Physics, 2016, Volume 56, Issue 4, Pages 593–611
DOI: https://doi.org/10.1134/S0965542516040060
Bibliographic databases:
Document Type: Article
UDC: 519.622
Language: Russian
Citation: V. F. Butuzov, A. I. Bychkov, “Asymptotics of the solution to an initial boundary value problem for a singularly perturbed parabolic equation in the case of a triple root of the degenerate equation”, Zh. Vychisl. Mat. Mat. Fiz., 56:4 (2016), 605–624; Comput. Math. Math. Phys., 56:4 (2016), 593–611
Citation in format AMSBIB
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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