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On a singularly perturbed mixed problem for a linear parabolic equation with nonlinear boundary conditions

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Abstract

A mixed problem for a linear parabolic equation with a small parameter multiplying the time derivative and with nonlinear boundary conditions is solved. Such boundary conditions arise in some heat and mass transfer problems, for example, in cooling thin spherical gas-filled shells or in the case of a gas filling such shells with gas-permeable walls.

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References

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Authors and Affiliations

  1. Dorodnitsyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia

    A. A. Belolipetskii

  2. Moscow Institute of Physics and Technology (State University), Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700, Russia

    A. M. Ter-Krikorov

Authors
  1. A. A. Belolipetskii
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  2. A. M. Ter-Krikorov
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Correspondence to A. A. Belolipetskii.

Additional information

Original Russian Text © A.A. Belolipetskii, A.M. Ter-Krikorov, 2014, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2014, Vol. 54, No. 1, pp. 80–88.

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Belolipetskii, A.A., Ter-Krikorov, A.M. On a singularly perturbed mixed problem for a linear parabolic equation with nonlinear boundary conditions. Comput. Math. and Math. Phys. 54, 74–82 (2014). https://doi.org/10.1134/S0965542514010023

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  • DOI: https://doi.org/10.1134/S0965542514010023

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