Počet záznamů: 1

Anisotropic L-2-estimates of weak solutions to the stationary Oseen-type equations in 3D-exterior domain for a rotating body

  1. 1.
    0342842 - MU-W 2011 RIV JP eng J - Článek v odborném periodiku
    Kračmar, S. - Nečasová, Šárka - Penel, P.
    Anisotropic L-2-estimates of weak solutions to the stationary Oseen-type equations in 3D-exterior domain for a rotating body.
    Journal of the Mathematical Society of Japan. Roč. 62, č. 1 (2010), s. 239-268 ISSN 0025-5645
    Grant CEP: GA AV ČR IAA100190804
    Výzkumný záměr: CEZ:AV0Z10190503
    Klíčová slova: Oseen problem * rotating body * anisotropically weighted L-2 spaces
    Kód oboru RIV: BA - Obecná matematika
    Impakt faktor: 0.615, rok: 2010
    http://projecteuclid.org/euclid.jmsj/1265380430

    We study the Oseen problem with rotational effect in exterior three-dimensional domains. Using a variational approach we prove existence and uniqueness theorems in anisotropically weighted Sobolev spaces in the whole three-dimensional space. As the main tool we derive and apply an inequality of the Friedrichs-Poincare type and the theory of Calderon-Zygmund kernels in weighted spaces. For the extension of results to the case of exterior domains we use a localization procedure.
    Trvalý link: http://hdl.handle.net/11104/0185463
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