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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2012, Volume 52, Number 7, Pages 1267–1276 (Mi zvmmf9604)  
This article is cited in 4 scientific papers (total in 4 papers)

On the asymptotics of the solution to a singularly perturbed system of first-order partial differential equations with small nonlinearity in the critical case

A. V. Nesterov

Russian State University of Trade and Economics, Moscow
Full-text PDF (228 kB) Citations (4)
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Abstract: A complete asymptotic expansion of the solution to an initial value problem for a singularly perturbed system of hyperbolic equations is constructed and justified. A specific feature of the problem is that its solution has a wavelet zone in a neighborhood of which the asymptotics is described by a parabolic equation.
Key words: initial value problems, singular perturbations, Cauchy problem, hyperbolic systems of equations, asymptotic representation of solutions, parabolic layer.
Received: 14.04.2010
Revised: 15.12.2011
English version:
Computational Mathematics and Mathematical Physics, 2012, Volume 52, Issue 7, Pages 1035–1043
DOI: https://doi.org/10.1134/S0965542512070093
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: English
Citation: A. V. Nesterov, “On the asymptotics of the solution to a singularly perturbed system of first-order partial differential equations with small nonlinearity in the critical case”, Zh. Vychisl. Mat. Mat. Fiz., 52:7 (2012), 1267–1276; Comput. Math. Math. Phys., 52:7 (2012), 1035–1043
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:56
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