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An Lq-approach with generalized anisotropic weight of the weak solution of the Oseen flow around a rotating body in the whole space
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SYSNO ASEP 0333375 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title An Lq-approach with generalized anisotropic weight of the weak solution of the Oseen flow around a rotating body in the whole space Title Lq přístup pro zobecněný problém s anisotropními váhami slabého řešení Oseenova proudění podél rotujícího tělesa v celém prostoru Author(s) Kračmar, S. (CZ)
Krbec, Miroslav (MU-W) RID, SAI
Nečasová, Šárka (MU-W) RID, SAI, ORCID
Penel, P. (FR)
Schumacher, K. (DE)Source Title Nonlinear Analysis: Theory, Methods & Applications. - : Elsevier - ISSN 0362-546X
Roč. 71, č. 12 (2009), e2940-e2957Number of pages 18 s. Language eng - English Country GB - United Kingdom Keywords littlewood-Paley theory ; maximal operators ; rotating body ; Muckenhoupt weights ; one-sided weights 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 000277952800218 DOI 10.1016/j.na.2009.07.017 Annotation In the present paper we study the stationary Oseen-type system for flow around a rotating body. We study the system in the whole three-dimensional space. We establish the existence and uniqueness of a weak solution in weighted Lq-spaces. We also investigate the regularity of the solutions. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2010
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