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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 1, Pages 80–88
DOI: https://doi.org/10.7868/S0044466914010025 (Mi zvmmf9974) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On a singularly perturbed mixed problem for a linear parabolic equation with nonlinear boundary conditions

A. A. Belolipetskiia, A. M. Ter-Krikorovb

a Dorodnitsyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia
b Moscow Institute of Physics and Technology (State University), Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700, Russia
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DOI: https://doi.org/10.7868/S0044466914010025
Abstract: A mixed problem for a linear parabolic equation with a small parameter multiplying the time derivative and with nonlinear boundary conditions is solved. Such boundary conditions arise in some heat and mass transfer problems, for example, in cooling thin spherical gas-filled shells or in the case of a gas filling such shells with gas-permeable walls.
Key words: singularly perturbed problem for a parabolic equation, asymptotic methods, method of integral equations, uniqueness and existence theorem.
Received: 08.04.2013
Revised: 09.07.2013
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 1, Pages 74–82
DOI: https://doi.org/10.1134/S0965542514010023
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: A. A. Belolipetskii, A. M. Ter-Krikorov, “On a singularly perturbed mixed problem for a linear parabolic equation with nonlinear boundary conditions”, Zh. Vychisl. Mat. Mat. Fiz., 54:1 (2014), 80–88; Comput. Math. Math. Phys., 54:1 (2014), 74–82
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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