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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2019, Volume 59, Number 7, Pages 1201–1229
DOI: https://doi.org/10.1134/S0044466919070159 (Mi zvmmf10926) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Asymptotic behavior and stability of a stationary boundary-layer solution to a partially dissipative system of equations

V. F. Butuzov

Faculty of Physics, Lomonosov Moscow State University, Moscow, 119992 Russia
Citations (3)
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DOI: https://doi.org/10.1134/S0044466919070159
Abstract: A boundary value problem for a singularly perturbed partially dissipative system of two ordinary differential equations of the second and first order, respectively, is considered. An asymptotic expansion of its boundary-layer solution in a small parameter is constructed and justified. This solution is a stationary solution of the corresponding evolution system of equations with partial derivatives. The asymptotic stability of a stationary boundary-layer solution is proved, and its local basin of attraction is found.
Key words: singularly perturbed partially dissipative system of equations, boundary layer, asymptotically stable solution, asymptotic method of differential inequalities.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00424
This work was supported by the Russian Foundation for Basic Research, project no. 18-01-00424.
Received: 03.03.2019
Revised: 03.03.2019
Accepted: 10.04.2019
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 7, Pages 1148–1171
DOI: https://doi.org/10.1134/S0965542519070145
Bibliographic databases:
Document Type: Article
UDC: 517.925.8+517.928.4
Language: Russian
Citation: V. F. Butuzov, “Asymptotic behavior and stability of a stationary boundary-layer solution to a partially dissipative system of equations”, Zh. Vychisl. Mat. Mat. Fiz., 59:7 (2019), 1201–1229; Comput. Math. Math. Phys., 59:7 (2019), 1148–1171
Citation in format AMSBIB
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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