This article is cited in 2 papers

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

V. N. Belykh

Sobolev Institute of Mathematics, Novosibirsk, Russia

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.

UDC: 517.95+532.22

MSC: 35R30

Received: 24.11.2016

DOI: 10.17377/smzh.2017.58.402

 English version: Siberian Mathematical Journal, 2017, 58:4, 564–577

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