Asymptotics of a parabolic problem with a nonsmooth angular function of the boundary layer

Authors

  • Asan Omuraliev Kyrgyz-Turkish Manas Univerity, Bishkek, Kyrgyzstan
  • Ella Abylaeva Kyrgyz-Turkish Manas Univerity, Bishkek, Kyrgyzstan

DOI:

https://doi.org/10.3842/umzh.v77i1.8152

Keywords:

asymptotics, parabolic problem, boundary layer, nonsmooth terms.

Abstract

UDC 517.9

We construct asymptotic approximations for solving a parabolic problem with nonsmooth angular function of the boundary layer in the case where the perturbation is singular. Unlike the works studied earlier, our algorithm is simple. By choosing a proper regularizing function, we managed to simplify the asymptotic structure of the solution and the construction algorithm. The obtained asymptotics contain only three boundary-layer functions. At the same time, the asymptotics of the solutions constructed earlier contain five boundary-layer components.

References

The full version of this paper will be published in Ukrainian Mathematical Journal, Vol. 77, No. 1, 2025.

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Published

25.03.2025

Issue

Vol. 77 No. 1 (2025)

Section

Research articles

License

Copyright (c) 2025 Ella Abylaeva

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Omuraliev, Asan, and Ella Abylaeva. “Asymptotics of a Parabolic Problem With a Nonsmooth Angular Function of the Boundary Layer”. Ukrains’kyi Matematychnyi Zhurnal, vol. 77, no. 1, Mar. 2025, p. 75, https://doi.org/10.3842/umzh.v77i1.8152.