Oscillations of Capillary Viscous Fluids

  • Nikolay D. Kopachevsky
  • Selim G. Krein
Part of the Operator Theory: Advances and Applications book series (OT, volume 146)


In this chapter we consider a few problems on small movements and normal oscillations of a viscous fluid that partially fills a container under the conditions of low gravity, that is, when the forces of surface tension are to be taken into account. As it turns out, the capillary forces have a great influence on the structure of the spectrum of normal oscillations. The general scheme of approaching this type of problems will differ from the method developed for the problems in Chapter 8.


Compact Operator Spectral Problem Riesz Basis Normal Oscillation Angular Operator 
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Copyright information

© Springer Basel AG 2003

Authors and Affiliations

  • Nikolay D. Kopachevsky
    • 1
  • Selim G. Krein
  1. 1.Mathematical DepartmentTaurida National V. Vernadsky UniversitySimferopolUkraine

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