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Asymptotics of the solution to a singularly perturbed system of parabolic equations in the critical case

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Abstract

A formal asymptotic representation is constructed for the solution of an initial-boundary value problem for a singularly perturbed system of parabolic equations. A specific feature of the problem is that its solution has an internal transition layer.

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References

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Authors and Affiliations

  1. Russian State Social University, ul. V. Pika 4, Moscow, 129226, Russia

    A. V. Nesterov

  2. Obninsk State Technical University for Nuclear Power Engineering, Studgorodok 1, Obninsk, Kaluga oblast, 249040, Russia

    O. V. Shuliko

Authors
  1. A. V. Nesterov
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  2. O. V. Shuliko
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Correspondence to A. V. Nesterov.

Additional information

Original Russian Text © A.V. Nesterov, O.V. Shuliko, 2010, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2010, Vol. 50, No. 2, pp. 268–275.

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Nesterov, A.V., Shuliko, O.V. Asymptotics of the solution to a singularly perturbed system of parabolic equations in the critical case. Comput. Math. and Math. Phys. 50, 256–263 (2010). https://doi.org/10.1134/S0965542510020077

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  • DOI: https://doi.org/10.1134/S0965542510020077

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