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Ukrainian Mathematical Journal

, Volume 57, Issue 12, pp 1853–1869 | Cite as

Construction of solutions for the problem of free oscillations of an ideal liquid in cavities of complex geometric form

  • M. Ya. Barnyak
Article

Abstract

We consider the problem of free oscillations of an ideal incompressible liquid in cavities of complex geometric form. The domain filled with liquid is divided into subdomains of simpler geometric form. The original problem is reduced to the spectral problem for a part of the domain filled with liquid. To this end, we use solutions of auxiliary boundary-value problems in subdomains. We construct approximate solutions of the problem obtained using the variational method. We also consider the problem of the rational choice of a system of coordinate functions. Results of the numerical realization of the proposed method are presented.

Keywords

Approximate Solution Variational Method Original Problem Rational Choice Spectral Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, Inc. 2005

Authors and Affiliations

  • M. Ya. Barnyak
    • 1
  1. 1.Institute of MathematicsUkrainian Academy of SciencesKyiv

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