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Spectral properties in Lq of an Oseen operator modeling fluid flow past a rotating body

  1. 1.
    0345654 - MU-W 2011 RIV JP eng J - Článek v odborném periodiku
    Farwig, R. - Neustupa, Jiří
    Spectral properties in Lq of an Oseen operator modeling fluid flow past a rotating body.
    Tohoku Mathematical Journal. Roč. 62, č. 2 (2010), s. 287-309 ISSN 0040-8735
    Grant CEP: GA AV ČR IAA100190905
    Výzkumný záměr: CEZ:AV0Z10190503
    Klíčová slova: Eigenvalues * essential spectrum * modified Oseen problem * rotating obstacle
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 0.414, rok: 2010
    http://projecteuclid.org/euclid.tmj/1277298650

    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 halfplane 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.
    Trvalý link: http://hdl.handle.net/11104/0186869
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