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

0349614 - MÚ 2011 RIV US eng J - Článek v odborném periodiku
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
Grant CEP: GA AV ČR IAA100190804
Výzkumný záměr: CEZ:AV0Z10190503
Klíčová slova: rotating body * stationary Oseen flow * weak solution * exterior domain * Lq approach
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.697, rok: 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.
Trvalý link: http://hdl.handle.net/11104/0189804