About: On the spectrum of an Oseen-type operator arising from flow past a rotating body

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	We present the description of the spectrum of a linear perturbed Oseen-type operator which arises from equations of motion of a viscous incompressible fluid in the exterior of a rotating compact body. Consireding the operator in the function space L^2_{sigma}(Omega) we prove that the essential spectrum consists of an infinite set of overlapping parabolic regions in the left half-plane of the complex plane. Our approach is based on a reduction to invariant closed subspaces of L^2_{sigma}(Omega) and on a Fourier serie expansion with respect to an angular variable in a cylindrical coordinate system attached to the axis of rotation. We present the description of the spectrum of a linear perturbed Oseen-type operator which arises from equations of motion of a viscous incompressible fluid in the exterior of a rotating compact body. Consireding the operator in the function space L^2_{sigma}(Omega) we prove that the essential spectrum consists of an infinite set of overlapping parabolic regions in the left half-plane of the complex plane. Our approach is based on a reduction to invariant closed subspaces of L^2_{sigma}(Omega) and on a Fourier serie expansion with respect to an angular variable in a cylindrical coordinate system attached to the axis of rotation. (en)
Title	On the spectrum of an Oseen-type operator arising from flow past a rotating body On the spectrum of an Oseen-type operator arising from flow past a rotating body (en)
skos:prefLabel	On the spectrum of an Oseen-type operator arising from flow past a rotating body On the spectrum of an Oseen-type operator arising from flow past a rotating body (en)
skos:notation	RIV/67985840:_____/08:00341375!RIV10-MSM-67985840
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(IAA100190612), P(LC06052), Z(AV0Z10190503)
http://linked.open...iv/cisloPeriodika	2
http://linked.open...vai/riv/dodaniDat	2010
http://linked.open...aciTvurceVysledku	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	384795
http://linked.open...ai/riv/idVysledku	RIV/67985840:_____/08:00341375
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	eigenvalues; essential spectrum; modified Oseen problem (en)
http://linked.open.../riv/klicoveSlovo	essential spectrum eigenvalues modified Oseen problem
http://linked.open...odStatuVydavatele	CH - Švýcarská konfederace
http://linked.open...ontrolniKodProRIV	[6CE9D3D5FCD7]
http://linked.open...i/riv/nazevZdroje	Integral Equations and Operator Theory
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...vavai/riv/projekt	The Nečas Center for Mathematical Modeling Regularity and other qualitative properties of solutions to the Navier-Stokes and related equations, transition to turbulence.
http://linked.open...UplatneniVysledku	2008
http://linked.open...v/svazekPeriodika	62
http://linked.open...iv/tvurceVysledku	Neustupa, Jiří Farwig, R.
http://linked.open...ain/vavai/riv/wos	000259862100003
http://linked.open...n/vavai/riv/zamer	Rozvoj a prohloubení obecných matematických poznatků a jejich užití v dalších vědních oborech a v praxi
issn	0378-620X
number of pages	21 (xsd:int)

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