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On the Variational Statement of One Boundary-Value Problem with Free Interface

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Ukrainian Mathematical Journal Aims and scope

With the help of Clebsch’s potentials, we propose a Bateman–Luke-type variational principle for a boundary- value problem with a free (unknown) interface between two ideal compressible barotropic fluids (liquid and gas) admitting rotational flows.

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References

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Authors and Affiliations

  1. Institute of Mathematics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    Aleksander Timokha

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  1. Aleksander Timokha
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Correspondence to Aleksander Timokha.

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 75, No. 8, pp. 1113–1118, August, 2023. Ukrainian DOI: https://doi.org/10.37863/umzh.v75i8.7650.

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Timokha, A. On the Variational Statement of One Boundary-Value Problem with Free Interface. Ukr Math J 75, 1272–1277 (2024). https://doi.org/10.1007/s11253-023-02260-0

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  • DOI: https://doi.org/10.1007/s11253-023-02260-0

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