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Spectral analysis of a Stokes-type operator arising from flow around a rotating body
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SYSNO ASEP 0357503 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Spectral analysis of a Stokes-type operator arising from flow around a rotating body Author(s) Farwig, R. (DE)
Nečasová, Šárka (MU-W) RID, SAI, ORCID
Neustupa, Jiří (MU-W) RID, SAI, ORCIDSource Title Journal of the Mathematical Society of Japan. - : Mathematical Society of Japan - ISSN 0025-5645
Roč. 63, č. 1 (2011), s. 163-194Number of pages 32 s. Language eng - English Country JP - Japan Keywords Stokes operator ; Stokes operator with rotation ; spectrum ; essential spectrum Subject RIV BA - General Mathematics R&D Projects IAA100190802 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) IAA100190804 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) LC06052 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000287060600005 EID SCOPUS 80052422032 DOI 10.2969/jrnsj/06310163 Annotation We consider the spectrum of the Stokes operator with and without rotation effect for the whole space and exterior domains in L-q-spaces. Based on similar results for the Dirichlet-Laplacian on R-n, n >= 2, we prove in the whole space case that the spectrum as a set in C does not change with q is an element of (1, infinity), but it changes its type from the residual to the continuous or to the point spectrum with q. The results for exterior domains are less complete, but the spectrum of the Stokes operator with rotation mainly is an essential one, consisting of infinitely many equidistant parallel half lines in the left complex half plane. The tools are strongly based on Fourier analysis in the whole space case and on stability properties of the essential spectrum for exterior domains. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2011
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