About: Spectral analysis of a Stokes-type operator arising from flow around a rotating body

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	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. 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. (en)
Title	Spectral analysis of a Stokes-type operator arising from flow around a rotating body Spectral analysis of a Stokes-type operator arising from flow around a rotating body (en)
skos:prefLabel	Spectral analysis of a Stokes-type operator arising from flow around a rotating body Spectral analysis of a Stokes-type operator arising from flow around a rotating body (en)
skos:notation	RIV/67985840:_____/11:00391070!RIV13-MSM-67985840
http://linked.open...avai/predkladatel	Matematický ústav AV ČR, v. v. i.
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(IAA100190802), P(IAA100190804), P(LC06052), Z(AV0Z10190503)
http://linked.open...iv/cisloPeriodika	1
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Nečasová, Šárka Neustupa, Jiří
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Matematický ústav AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	231364
http://linked.open...ai/riv/idVysledku	RIV/67985840:_____/11:00391070
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	Stokes operator; Stokes operator with rotation; spectrum; essential spectrum (en)
http://linked.open.../riv/klicoveSlovo	Stokes operator Stokes operator with rotation essential spectrum spectrum
http://linked.open...odStatuVydavatele	JP - Japonsko
http://linked.open...ontrolniKodProRIV	[4085C233B3C6]
http://linked.open...i/riv/nazevZdroje	Journal of the Mathematical Society of Japan
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	2 (xsd:int)
http://linked.open...cetTvurcuVysledku	3 (xsd:int)
http://linked.open...vavai/riv/projekt	Function theory and operator theory in Bergman spaces The motion of rigid bodies in liquid: mathematical analysis, numerical simulation and related problems The Nečas Center for Mathematical Modeling
http://linked.open...UplatneniVysledku	2011
http://linked.open...v/svazekPeriodika	63
http://linked.open...iv/tvurceVysledku	Neustupa, Jiří Nečasová, Šárka Farwig, R.
http://linked.open...ain/vavai/riv/wos	000287060600005
http://linked.open...n/vavai/riv/zamer	Rozvoj a prohloubení obecných matematických poznatků a jejich užití v dalších vědních oborech a v praxi
issn	0025-5645
number of pages	32 (xsd:int)
is http://linked.open...avai/riv/vysledek of	Spectral analysis of a Stokes-type operator arising from flow around a rotating body

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