Lq-APPROACH OF WEAK SOLUTIONS TO STATIONARY ROTATING OSEEN EQUATIONS IN EXTERIOR DOMAINS

We establish the existence and uniqueness of a weak solution of the threedimensional 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 Kračmar, Nečasová, and...

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Bibliographic Details
Published in:Quarterly of applied mathematics 2010-09, Vol.68 (3), p.421-437
Main Authors: KRAČMAR, S., NEČASOVÁ, Š., PENEL, P.
Format: Article
Language:English
Subjects:
Boundary conditions
Exact sciences and technology
Fluid dynamics
Fluid flow
Fundamental areas of phenomenology (including applications)
General theory
Infinity
Mathematics
Navier Stokes equation
Physics
Rigid structures
Rotating bodies
Sobolev spaces
Uniqueness
Viscosity
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Summary:We establish the existence and uniqueness of a weak solution of the threedimensional 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 Kračmar, Nečasová, 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 (W͡-1,q(D))³ for certain values of q.
ISSN:0033-569X
1552-4485