Spectral properties in Lq of an Oseen operator modeling fluid flow past a rotating body

0345654 - MÚ 2011 RIV JP eng J - Journal Article
Farwig, R. - Neustupa, Jiří
Spectral properties in Lq of an Oseen operator modeling fluid flow past a rotating body.
Tohoku Mathematical Journal. Roč. 62, č. 2 (2010), s. 287-309. ISSN 0040-8735. E-ISSN 0040-8735
R&D Projects: GA AV ČR IAA100190905
Institutional research plan: CEZ:AV0Z10190503
Keywords : Eigenvalues * essential spectrum * modified Oseen problem * rotating obstacle
Subject RIV: BA - General Mathematics
Impact factor: 0.414, year: 2010
http://projecteuclid.org/euclid.tmj/1277298650

We study the spectrum of a linear Oseen-type operator which arises from equations of motion of a viscous incompressible fluid in the exterior of a rotating compact body. We prove that the essential spectrum consists of an infinite set of overlapping parabolic regions in the left halfplane of the complex plane. The full spectrum coincides with the essential and continuous spectrum if the operator is considered in the whole 3D space. Our approach is based on the Fourier transform in the whole space and the transfer of the results to the exterior domain.
Permanent Link: http://hdl.handle.net/11104/0186869