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

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An Erratum to this article was published on 14 November 2014

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.

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Authors and Affiliations

  1. Obninsk State Technical University for Nuclear Power Engineering, National Research Nuclear University “MEPhI,” Studgorodok 1, Obninsk, Kaluga oblast, 249040, Russia

    T. V. Pavlyuk

  2. Moscow City Pedagogical University, Vtoroi Sel’skokhozyaistvennyi pr. 4, Moscow, 129226, Russia

    A. V. Nesterov

Authors
  1. T. V. Pavlyuk
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  2. A. V. Nesterov
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Correspondence to T. V. Pavlyuk.

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Original Russian Text © T.V. Pavlyuk, A.V. Nesterov, 2014, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2014, Vol. 54, No. 3, pp. 450–462.

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Pavlyuk, T.V., Nesterov, A.V. On the asymptotics of the solution to a singularly perturbed hyperbolic system of equations with several spatial variables in the critical case. Comput. Math. and Math. Phys. 54, 462–473 (2014). https://doi.org/10.1134/S0965542514030142

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  • DOI: https://doi.org/10.1134/S0965542514030142

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