Motion of Viscous Fluids in Open Containers

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


In this chapter we study the motion of a viscous fluid in an open container. First we will prove the solvability of the initial boundary value problem. Then, in order to investigate the normal oscillations, we introduce the main operator pencil, whose spectrum is analyzed in details using the methods presented in Section 1.6.


Viscous Fluid Spectral Problem Negative Eigenvalue Riesz Basis Operator Pencil 
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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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