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

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F10%3A00345654" target="_blank" >RIV/67985840:_____/10:00345654 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

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

Original language description

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.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/IAA100190905" target="_blank" >IAA100190905: Dynamical properties of the Navier-Stokes and related equations</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2010

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Tohoku Mathematical Journal

ISSN

0040-8735

e-ISSN

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Volume of the periodical

62

Issue of the periodical within the volume

2

Country of publishing house

JP - JAPAN

Number of pages

23

Pages from-to

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UT code for WoS article

000281176100007

EID of the result in the Scopus database

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