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Well-posedness of a nonstationary axisymmetric hydrodynamic problem with free surface

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Abstract

On assuming that the fluid motion is potential, we prove a local existence and uniqueness theorem for a time-analytic solution in an exact mathematical statement. We obtain a rigorous description of the initial stage of the nonstationary motion of an axisymmetric fluid droplet preceding the moment of evolutionary destruction (blow-up) of the free boundary.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, Russia

    V. N. Belykh

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  1. V. N. Belykh
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Correspondence to V. N. Belykh.

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Novosibirsk. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 58, No. 4, pp. 728–744, July–August, 2017

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Belykh, V.N. Well-posedness of a nonstationary axisymmetric hydrodynamic problem with free surface. Sib Math J 58, 564–577 (2017). https://doi.org/10.1134/S0037446617040024

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  • DOI: https://doi.org/10.1134/S0037446617040024

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