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

0342842 - MÚ 2011 RIV JP eng J - Journal Article
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
R&D Projects: GA AV ČR IAA100190804
Institutional research plan: CEZ:AV0Z10190503
Keywords : Oseen problem * rotating body * anisotropically weighted L-2 spaces
Subject RIV: BA - General Mathematics
Impact factor: 0.615, year: 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.
Permanent Link: http://hdl.handle.net/11104/0185463