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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2017, Volume 57, Number 5, Pages 854–866
DOI: https://doi.org/10.7868/S0044466917050064 (Mi zvmmf10575) 		 
This article is cited in 31 scientific papers (total in 31 papers)

Time-independent reaction-diffusion equation with a discontinuous reactive term

N. T. Levashova, N. N. Nefedov, A. O. Orlov

Faculty of Physics, Moscow State University, Moscow, Russia
Full-text PDF (499 kB) Citations (31)
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DOI: https://doi.org/10.7868/S0044466917050064
Abstract: A two-dimensional singularly perturbed elliptic equation referred to in applications as the reaction-diffusion equation is considered. The nonlinearity describing the reaction is assumed to be discontinuous on a certain closed curve. On the basis of the generalized asymptotic comparison principle, the existence of smooth solution is proven and the accuracy of the asymptotic approximation is estimated.
Key words: elliptic reaction-diffusion problem, boundary layers, asymptotics of solution, estimation of accuracy.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00437_a
Received: 03.02.2016
English version:
Computational Mathematics and Mathematical Physics, 2017, Volume 57, Issue 5, Pages 854–866
DOI: https://doi.org/10.1134/S0965542517050062
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: N. T. Levashova, N. N. Nefedov, A. O. Orlov, “Time-independent reaction-diffusion equation with a discontinuous reactive term”, Zh. Vychisl. Mat. Mat. Fiz., 57:5 (2017), 854–866; Comput. Math. Math. Phys., 57:5 (2017), 854–866
Citation in format AMSBIB
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    • This publication is cited in the following 31 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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    References:46
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