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Singularly Perturbed Multidimensional Parabolic Equation with Rapidly Oscillating Free Term

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Ukrainian Mathematical Journal Aims and scope

The regularized asymptotics of the solution of the first boundary-value problem for a two-dimensional differential equation of parabolic type is constructed in the case where the phase derivative vanishes at a single point. It is shown that angular and multidimensional boundary-layer functions appear in problems of this kind parallel with other types of boundary layers.

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References

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Authors and Affiliations

  1. “Manas” Kyrgyz–Turkish University, Bishkek, Kyrgyzstan

    A. S. Omuraliev & E. Abylaeva

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  1. A. S. Omuraliev
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  2. E. Abylaeva
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Correspondence to E. Abylaeva.

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 73, No. 12, pp. 1647–1656, December, 2021. Ukrainian DOI: https://doi.org/10.37863/umzh.v73i12.93.

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Omuraliev, A.S., Abylaeva, E. Singularly Perturbed Multidimensional Parabolic Equation with Rapidly Oscillating Free Term. Ukr Math J 73, 1906–1917 (2022). https://doi.org/10.1007/s11253-022-02037-x

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  • DOI: https://doi.org/10.1007/s11253-022-02037-x

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