About Analytic Solvability of Nonstationary Flow of Ideal Fluid with a Free Surface

  • Roman V. Shamin
Conference paper
Part of the IUTAM Bookseries book series (IUTAMBOOK, volume 6)


We consider equations describing nonstationary motion of ideal liquid with free boundary in a gravitational field. Existence of analytic solutions of the above equations for a sufficiently small time interval is proved. Solutions from Sobolev spaces of finite order are also investigated.


Hydrodynamics with free surface analytical solutions Dyachenko equations 


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Copyright information

© Springer Science + Business Media B.V 2008

Authors and Affiliations

  • Roman V. Shamin
    • 1
  1. 1.Shirshov Institute of Oceanology of the RASMoscowRussia

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