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Sibirskii Matematicheskii Zhurnal, 2017, Volume 58, Number 4, Pages 728–744
DOI: https://doi.org/10.17377/smzh.2017.58.402 (Mi smj2893) 		 
This article is cited in 2 scientific papers (total in 2 papers)

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

V. N. Belykh

Sobolev Institute of Mathematics, Novosibirsk, Russia
Full-text PDF (325 kB) Citations (2)
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DOI: https://doi.org/10.17377/smzh.2017.58.402
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.
Keywords: free boundary, ideal fluid, Cauchy problem, analytic solution.
Received: 24.11.2016
English version:
Siberian Mathematical Journal, 2017, Volume 58, Issue 4, Pages 564–577
DOI: https://doi.org/10.1134/S0037446617040024
Bibliographic databases:
Document Type: Article
UDC: 517.95+532.22
MSC: 35R30
Language: Russian
Citation: V. N. Belykh, “Well-posedness of a nonstationary axisymmetric hydrodynamic problem with free surface”, Sibirsk. Mat. Zh., 58:4 (2017), 728–744; Siberian Math. J., 58:4 (2017), 564–577
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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    Full-text PDF :58
    References:36
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