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

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F11%3A00357503" target="_blank" >RIV/67985840:_____/11:00357503 - isvavai.cz</a>

  • Alternative codes found

    RIV/67985840:_____/11:00375617 RIV/67985840:_____/11:00391070

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

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

  • Original language 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.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    Result was created during the realization of more than one project. More information in the Projects tab.

  • Continuities

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

Others

  • Publication year

    2011

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Journal of the Mathematical Society of Japan

  • ISSN

    0025-5645

  • e-ISSN

  • Volume of the periodical

    63

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    JP - JAPAN

  • Number of pages

    32

  • Pages from-to

  • UT code for WoS article

    000287060600005

  • EID of the result in the Scopus database