Number of the records: 1
Anisotropic L-2-estimates of weak solutions to the stationary Oseen-type equations in 3D-exterior domain for a rotating body
- 1.
SYSNO ASEP 0342842 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Anisotropic L-2-estimates of weak solutions to the stationary Oseen-type equations in 3D-exterior domain for a rotating body Author(s) Kračmar, S. (CZ)
Nečasová, Šárka (MU-W) RID, SAI, ORCID
Penel, P. (FR)Source Title Journal of the Mathematical Society of Japan. - : Mathematical Society of Japan - ISSN 0025-5645
Roč. 62, č. 1 (2010), s. 239-268Number of pages 30 s. Language eng - English Country JP - Japan Keywords Oseen problem ; rotating body ; anisotropically weighted L-2 spaces Subject RIV BA - General Mathematics R&D Projects IAA100190804 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000274066400009 EID SCOPUS 77951018874 DOI 10.2969/jmsj/06210239 Annotation 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. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2011
Number of the records: 1