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Solutions to a singularly perturbed parabolic equation with internal and boundary layers depending on stretched variables of different orders

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Abstract

The solution to a singularly perturbed parabolic equation with internal and boundary layers whose stretched variables may depend on different powers of the perturbation parameter is considered. An asymptotic representation of the solution is constructed and substantiated, and its stability is proved.

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Authors and Affiliations

  1. Faculty of Physics, Moscow State University, Leninskie gory, Moscow, 119992, Russia

    E. E. Bukzhalev & A. B. Vasil’eva

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  1. E. E. Bukzhalev
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  2. A. B. Vasil’eva
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Original Russian Text © E.E. Bukzhalev, A.B. Vasil’eva, 2007, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2007, Vol. 47, No. 3, pp. 424–437.

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Bukzhalev, E.E., Vasil’eva, A.B. Solutions to a singularly perturbed parabolic equation with internal and boundary layers depending on stretched variables of different orders. Comput. Math. and Math. Phys. 47, 407–419 (2007). https://doi.org/10.1134/S0965542507030062

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  • DOI: https://doi.org/10.1134/S0965542507030062

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