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Asymptotic Approximations of the Solution to a Boundary Value Problem in a Thin Aneurysm Type Domain

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An Erratum to this article was published on 18 September 2017

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We consider a nonuniform Neumann boundary value problem for the Poisson equation in a thin 3D aneurysm type domain consisting of thin curvilinear cylinders joined through an aneurysm of diameter ϐ(ε). We develop a rigorous procedure for constructing a complete asymptotic expansion of the solution as ε → 0. We prove energy and uniform pointwise estimates, which allows us to observe the impact of the aneurysm. Bibliography: 21 titles. Illustrations: 5 figures.

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  • 18 September 2017

    An erratum to this article has been published.

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Authors and Affiliations

  1. Taras Shevchenko National University of Kyiv, 64, Volodymyrska Str, Kyiv, 01601, Ukraine

    A. V. Klevtsovskiy & T. A. Mel’nyk

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  1. A. V. Klevtsovskiy
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  2. T. A. Mel’nyk
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Translated from Problemy Matematicheskogo Analiza 88, March 2017, pp. 59-81.

An erratum to this article is available at https://doi.org/10.1007/s10958-017-3547-5.

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Klevtsovskiy, A.V., Mel’nyk, T.A. Asymptotic Approximations of the Solution to a Boundary Value Problem in a Thin Aneurysm Type Domain. J Math Sci 224, 667–693 (2017). https://doi.org/10.1007/s10958-017-3443-z

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  • DOI: https://doi.org/10.1007/s10958-017-3443-z

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