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Parabolic Problem with a Power-Law Boundary Layer

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Abstract

We construct a regularized asymptotics of the solution of the first boundary value problem for a singularly perturbed two-dimensional differential equation of the parabolic type for the case in which the limit equation has a regular singularity. There arise power-law and corner boundary layers along with parabolic ones in such problems.

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Correspondence to A. S. Omuraliev, E. D. Abylaeva or P. Esengul kyzy.

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Translated by V. Potapchouck

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Omuraliev, A.S., Abylaeva, E.D. & Esengul kyzy, P. Parabolic Problem with a Power-Law Boundary Layer. Diff Equat 57, 75–85 (2021). https://doi.org/10.1134/S0012266121010067

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  • DOI: https://doi.org/10.1134/S0012266121010067

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