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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2017, Volume 57, Number 9, Pages 1548–1559
DOI: https://doi.org/10.7868/S0044466917090058 (Mi zvmmf10617) 		 
This article is cited in 9 scientific papers (total in 9 papers)

On one model problem for the reaction-diffusion-advection equation

M. A. Davydova, S. A. Zakharova, N. T. Levashova

Moscow State University, Moscow, Russia
Full-text PDF (776 kB) Citations (9)
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DOI: https://doi.org/10.7868/S0044466917090058
Abstract: The asymptotic behavior of the solution with boundary layers in the time-independent mathematical model of reaction-diffusion-advection arising when describing the distribution of greenhouse gases in the surface atmospheric layer is studied. On the basis of the asymptotic method of differential inequalities, the existence of a boundary-layer solution and its asymptotic Lyapunov stability as a steady-state solution of the corresponding parabolic problem is proven. One of the results of this work is the determination of the local domain of the attraction of a boundary-layer solution.
Key words: reaction–diffusion–advection equations, singularly perturbed problems, asymptotic methods.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00437_a
Russian Science Foundation 14-14-00956
Received: 02.06.2016
Revised: 12.12.2016
English version:
Computational Mathematics and Mathematical Physics, 2017, Volume 57, Issue 9, Pages 1528–1539
DOI: https://doi.org/10.1134/S0965542517090056
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: M. A. Davydova, S. A. Zakharova, N. T. Levashova, “On one model problem for the reaction-diffusion-advection equation”, Zh. Vychisl. Mat. Mat. Fiz., 57:9 (2017), 1548–1559; Comput. Math. Math. Phys., 57:9 (2017), 1528–1539
Citation in format AMSBIB
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    		Æóðíàë âû÷èñëèòåëüíîé ìàòåìàòèêè è ìàòåìàòè÷åñêîé ôèçèêè Computational Mathematics and Mathematical Physics
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