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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 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Spectral analysis of a Stokes-type operator arising from flow around a rotating body Tvůrce(i) Farwig, R. (DE)
Nečasová, Šárka (MU-W) RID, SAI, ORCID
Neustupa, Jiří (MU-W) RID, SAI, ORCIDZdroj.dok. Journal of the Mathematical Society of Japan. - : Mathematical Society of Japan - ISSN 0025-5645
Roč. 63, č. 1 (2011), s. 163-194Poč.str. 32 s. Jazyk dok. eng - angličtina Země vyd. JP - Japonsko Klíč. slova Stokes operator ; Stokes operator with rotation ; spectrum ; essential spectrum Vědní obor RIV BA - Obecná matematika CEP IAA100190802 GA AV ČR - Akademie věd IAA100190804 GA AV ČR - Akademie věd LC06052 GA MŠMT - Ministerstvo školství, mládeže a tělovýchovy CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000287060600005 EID SCOPUS 80052422032 DOI 10.2969/jrnsj/06310163 Anotace 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. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2011
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