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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 3, Pages 424–437 (Mi zvmmf315)  
This article is cited in 1 scientific paper (total in 1 paper)

Solutions to a singularly perturbed parabolic equation with internal and boundary layers depending on stretched variables of different orders

E. E. Bukzhalev, A. B. Vasil'eva

Faculty of Physics, Moscow State University, Leninskie gory, Moscow, 119992, Russia
Full-text PDF (1439 kB) Citations (1)
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Abstract: The solution to a singularly perturbed parabolic equation with internal and boundary layers whose stretched variables may depend on different powers of the perturbation parameter is considered. An asymptotic representation of the solution is constructed and substantiated, and its stability is proved.
Key words: singular perturbations, steplike contrast structures, boundary function method, differential inequality method, stability of solutions to parabolic equations.
Received: 29.12.2005
Revised: 06.09.2006
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 3, Pages 407–419
DOI: https://doi.org/10.1134/S0965542507030062
Bibliographic databases:
Document Type: Article
UDC: 519.624.2
Language: Russian
Citation: E. E. Bukzhalev, A. B. Vasil'eva, “Solutions to a singularly perturbed parabolic equation with internal and boundary layers depending on stretched variables of different orders”, Zh. Vychisl. Mat. Mat. Fiz., 47:3 (2007), 424–437; Comput. Math. Math. Phys., 47:3 (2007), 407–419
Citation in format AMSBIB
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\paper Solutions to a~singularly perturbed parabolic equation with internal and boundary layers depending on stretched variables of different orders
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\issue 3
\pages 424--437
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\transl
\jour Comput. Math. Math. Phys.
\yr 2007
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\issue 3
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  • https://www.mathnet.ru/eng/zvmmf/v47/i3/p424
    • This publication is cited in the following 1 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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    Full-text PDF :153
    References:49
    First page:1
     
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