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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2008, Volume 48, Number 11, Pages 2046–2057 (Mi zvmmf89)  
This article is cited in 1 scientific paper (total in 1 paper)

Construction of asymptotic solutions to conjugation problems

D. A. Gyunter, D. V. Ivanov, P. N. Mikhailov, A. I. Filippov

Sterlitamak Branch, Bashkortostan Academy of Sciences, ul. Odesskaya 68, Sterlitamak, 453103 Bashkortostan, Russia
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Abstract: A steady-state mass transfer problem related to underground storage of radioactive and chemical wastes is used to illustrate the application of an approximate method that opens up new opportunities for underground thermohydrodynamic simulation. The problem is represented as a sequence of mixed conjugation problems for the expansion coefficients, the remainder term, and the boundary-layer functions. Analytical expressions for the zero- and first-order expansion coefficients are derived.
Key words: asymptotic method, method of boundary-layer functions, mixed conjugation problems, steady-state mass transfer problems.
Received: 14.05.2007
Revised: 18.02.2008
English version:
Computational Mathematics and Mathematical Physics, 2008, Volume 48, Issue 11, Pages 2081–2092
DOI: https://doi.org/10.1134/S0965542508110134
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: D. A. Gyunter, D. V. Ivanov, P. N. Mikhailov, A. I. Filippov, “Construction of asymptotic solutions to conjugation problems”, Zh. Vychisl. Mat. Mat. Fiz., 48:11 (2008), 2046–2057; Comput. Math. Math. Phys., 48:11 (2008), 2081–2092
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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