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

DOI 被引用文献4件 参考文献22件

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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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詳細情報 詳細情報について

  • CRID
    1390282680093453312
  • NII論文ID
    130004705796
  • DOI
    10.2748/tmj/1277298650
  • ISSN
    2186585X
    00408735
  • 本文言語コード
    en
  • データソース種別
    • JaLC
    • Crossref
    • CiNii Articles
  • 抄録ライセンスフラグ
    使用不可

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