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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 3, Pages 450–462
DOI: https://doi.org/10.7868/S0044466914030168 (Mi zvmmf10006) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On the asymptotics of the solution to a singularly perturbed hyperbolic system of equations with several spatial variables in the critical case

T. V. Pavlyukab, A. V. Nesterovba

a Obninsk State Technical University for Nuclear Power Engineering, National Research Nuclear University “MEPhI”, Studgorodok 1, Obninsk, Kaluga oblast, 249040, Russia
b Moscow City Pedagogical University, Vtoroi Sel’skokhozyaistvennyi pr. 4, Moscow, 129226, Russia
Full-text PDF (252 kB) Citations (3)
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DOI: https://doi.org/10.7868/S0044466914030168
Abstract: A complete asymptotic expansion of the solution to an initial value problem for a singularly perturbed hyperbolic system of equations in several spatial variables is constructed and justified. A specific feature of the problem is that its solution has a spike zone in a neighborhood of which the asymptotics is described by a parabolic equation.
Key words: small parameter, singular perturbations, initial-boundary value problems, hyperbolic systems, asymptotic representation of solutions, spike function.
Received: 14.04.2014
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 3, Pages 462–473
DOI: https://doi.org/10.1134/S0965542514030142
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: T. V. Pavlyuk, A. V. Nesterov, “On the asymptotics of the solution to a singularly perturbed hyperbolic system of equations with several spatial variables in the critical case”, Zh. Vychisl. Mat. Mat. Fiz., 54:3 (2014), 450–462; Comput. Math. Math. Phys., 54:3 (2014), 462–473
Citation in format AMSBIB
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    This publication is cited in the following 3 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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