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On the Solvability of the Burgers Equation with Dynamic Boundary Conditions in a Degenerating Domain

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Abstract

In this article, the well-posedness of the boundary value problem for the Burgers equation with dynamic boundary conditions is studied in Sobolev spaces with a degenerating domain.

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Funding

This research is funded by the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan (Grants No. AP08855372, 2020-2022; AP08956033 2020–2021).

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Authors and Affiliations

  1. Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan

    M. T. Jenaliyev

  2. Ye.A. Buketov Karaganda University, Karaganda, Kazakhstan

    A. A. Assetov

  3. Department of Mechanics and Mathematics, Al-Farabi Kazakh National University, Almaty, Kazakhstan

    M. G. Yergaliyev

Authors
  1. M. T. Jenaliyev
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  2. A. A. Assetov
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  3. M. G. Yergaliyev
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Corresponding authors

Correspondence to M. T. Jenaliyev, A. A. Assetov or M. G. Yergaliyev.

Additional information

(Submitted by T. K. Yuldashev)

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Jenaliyev, M.T., Assetov, A.A. & Yergaliyev, M.G. On the Solvability of the Burgers Equation with Dynamic Boundary Conditions in a Degenerating Domain. Lobachevskii J Math 42, 3661–3674 (2021). https://doi.org/10.1134/S199508022203012X

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  • DOI: https://doi.org/10.1134/S199508022203012X

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