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

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SYSNO ASEP	0345654
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Spectral properties in Lq of an Oseen operator modeling fluid flow past a rotating body
Author(s)	Farwig, R. (DE) Neustupa, Jiří (MU-W)_{RID, SAI, ORCID}
Source Title	Tohoku Mathematical Journal - ISSN 0040-8735 Roč. 62, č. 2 (2010), s. 287-309
Number of pages	23 s.
Language	eng - English
Country	JP - Japan
Keywords	Eigenvalues ; essential spectrum ; modified Oseen problem ; rotating obstacle
Subject RIV	BA - General Mathematics
R&D Projects	IAA100190905 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR)
CEZ	AV0Z10190503 - MU-W (2005-2011)
UT WOS	000281176100007
EID SCOPUS	77955111864
DOI	10.2748/tmj/1277298650
Annotation	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.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2011

Number of the records: 1