Email this article Well-posedness of a nonstationary axisymmetric hydrodynamic problem with free surface
- Authors: Belykh V.N.1
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Affiliations:
- Sobolev Institute of Mathematics
- Issue: Vol 58, No 4 (2017)
- Pages: 564-577
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171278
- DOI: https://doi.org/10.1134/S0037446617040024
- ID: 171278
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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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About the authors
V. N. Belykh
Sobolev Institute of Mathematics
Author for correspondence.
Email: belykh@math.nsc.ru
Russian Federation, Novosibirsk
