Lq approach of weak solutions to stationary rotating Oseen equations in exterior domains

0349614 - MÚ 2011 RIV US eng J - Journal Article
Kračmar, S. - Nečasová, Šárka - Penel, P.
Lq approach of weak solutions to stationary rotating Oseen equations in exterior domains.
Quarterly of Applied Mathematics. Roč. 68, č. 3 (2010), s. 421-437. ISSN 0033-569X. E-ISSN 1552-4485
R&D Projects: GA AV ČR IAA100190804
Institutional research plan: CEZ:AV0Z10190503
Keywords : rotating body * stationary Oseen flow * weak solution * exterior domain * Lq approach
Subject RIV: BA - General Mathematics
Impact factor: 0.697, year: 2010
http://www.ams.org/journals/qam/2010-68-03/S0033-569X-10-01210-4/

We establish the existence and uniqueness of a weak solution of the three-dimensional nonhomogeneous stationary Oseen flow around a rotating body in an exterior domain D. We mainly use the localization procedure (see Kozono and Sohr (1991)) to combine our previous results (see Kracmar, Necasova, and Penel (2007, 2008)) with classical results in an appropriate bounded domain. We study the case of a nonintegrable right-hand side, where f is given in ((W) over cap (-1,q)(D))(3) for certain values of q.
Permanent Link: http://hdl.handle.net/11104/0189804