Email this article Asymptotic Approximations of the Solution to a Boundary Value Problem in a Thin Aneurysm Type Domain
- Authors: Klevtsovskiy A.V.1, Mel’nyk T.A.1
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Affiliations:
- Taras Shevchenko National University of Kyiv
- Issue: Vol 224, No 5 (2017)
- Pages: 667-693
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/239661
- DOI: https://doi.org/10.1007/s10958-017-3443-z
- ID: 239661
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Abstract
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.
About the authors
A. V. Klevtsovskiy
Taras Shevchenko National University of Kyiv
Email: Jade.Santos@springer.com
Ukraine, 64, Volodymyrska Str, Kyiv, 01601
T. A. Mel’nyk
Taras Shevchenko National University of Kyiv
Email: Jade.Santos@springer.com
Ukraine, 64, Volodymyrska Str, Kyiv, 01601
