Motion of Bodies with Cavities Completely Filled with Viscous Incompressible Fluids

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


First of all, in this chapter we address problems that originate in investigations of the motion of a viscous incompressible fluid filling completely the cavity of an immovable rigid body. The main operator connected with such problems is the Stokes operator described in Section 2.2.


Cauchy Problem Asymptotic Formula Inverse Operator Convective Movement Riesz Basis 
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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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