SPECTRAL PROPERTIES IN $L^q$ OF AN OSEEN OPERATOR MODELLING FLUID FLOW PAST A ROTATING BODY

DOI 4 Citations 22 References

Description

We study the spectrum of a linear Oseen-type operator which arises from equations of motion of a viscous incompressible fluid in the exterior of a rotating compact body. We prove that the essential spectrum consists of an infinite set of overlapping parabolic regions in the left half-plane of the complex plane. The full spectrum coincides with the essential and continuous spectrum if the operator is considered in the whole 3D space. Our approach is based on the Fourier transform in the whole space and the transfer of the results to the exterior domain.

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Details 詳細情報について

  • CRID
    1390282680093453312
  • NII Article ID
    130004705796
  • DOI
    10.2748/tmj/1277298650
  • ISSN
    2186585X
    00408735
  • Text Lang
    en
  • Data Source
    • JaLC
    • Crossref
    • CiNii Articles
  • Abstract License Flag
    Disallowed

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