Axially symmetric potentially rotational flow with free boundary

Authors

  • A. I. Shevchenko
  • A. S. Minenko

DOI:

https://doi.org/10.15407/dopovidi2014.05.045

Keywords:

free boundary, potentially rotational flow

Abstract

The solvability of a boundary-value problem with free boundary is proved. The approximate solution is constructed using the Ritz method. The convergence of the approximate solution to the exact one in the integral metric is proved.

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References

Minenko A. S. Variational problems with a free boundary. Kyiv: Nauk. dumka, 2005 (in Russian).

Minenko A. S., Shevchenko A. I. Methods for investigating nonlinear mathematical models. Kyiv: Nauk. dumka, 2012 (in Russian).

Minenko A. S. Ukr. mat. zhurn., 1995, 47, No. 4: 477–487 (in Russian).

Friedrich K. O. Math. Ann., 1933, 109, No. 1: 60–82. https://doi.org/10.1007/BF01449125

Danilyuk I. I., Minenko A. S. Dokl. AN UkrSSR. Ser. A, 1978, No. 4: 291–294 (in Russian).

Minenko A. S. Ukr. mat. zhurn., 2006, 58, No. 10: 1358–1394 (in Russian).

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Published

25.02.2025

How to Cite

Shevchenko, A. I., & Minenko, A. S. (2025). Axially symmetric potentially rotational flow with free boundary . Reports of the National Academy of Sciences of Ukraine, (5), 45–49. https://doi.org/10.15407/dopovidi2014.05.045

Issue

No. 5 (2014): Reports of the National Academy of Sciences of Ukraine

Section

Information Science and Cybernetics

License

Copyright (c) 2025 Reports of the National Academy of Sciences of Ukraine

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